Physics · Article
Magnetic forces and charged-particle motion
Use the Lorentz force to follow charge signs, energy and curved motion. Derive original helical and crossed-field trajectories, calculate an oriented Hall voltage, and state when guiding-center and magnetic-mirror approximations apply.
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Back to PhysicsAfter reading, you can
- Calculate the vector magnetic force with signed charge, explicit axes and the velocity component perpendicular to the field.
- Derive why magnetic force does no instantaneous work on a classical point charge, while an electric field can change its kinetic energy.
- Solve uniform-field circular and helical motion and distinguish radius, pitch, period, speed and charge-dependent rotation.
- Separate a crossed-field guiding-center drift from instantaneous particle motion, and check an original trajectory against electric work.
- Connect particle force to current force and an explicitly oriented single-carrier Hall voltage without dropping the material or boundary assumptions.
- Identify the scale separation behind magnetic moments and mirrors, and the limits imposed by nonuniform fields, collisions, radiation and relativity.
A force law needs a velocity
The electric field acts on a charge even when that charge is instantaneously at rest in the chosen frame. The magnetic part of the Lorentz force also needs a velocity: F = q(E + v × B). Here q is signed, E and B are the fields at the particle, and v is measured in the same frame and coordinate system. The two fields together determine the electromagnetic force.
In this lesson the fields are prescribed external classical fields. The particle is a test charge: we neglect its effect on those fields, its radiation reaction, collisions and collective fields from a beam or plasma. The main trajectory examples also use speeds much smaller than c so that p = mv is appropriate. These are physical assumptions, not consequences of drawing a smooth orbit.
The magnetic field B is measured in teslas. Since qvB has force units, 1 T = 1 N·s/(C·m) = 1 N/(A·m). The vector product makes its direction as important as its magnitude. A statement such as strong field does not by itself specify the force on a particular charge.
The next lesson computes magnetic fields from steady currents. Here we first learn what a specified field does. Separating the source problem from the test-particle problem lets us check signs, geometry and energy without pretending that a convenient uniform field describes every real magnet.
Keep the order of the cross product
For a positive charge, use v × B in that order. In right-handed Cartesian axes, x̂ × ŷ = ẑ, ŷ × ẑ = x̂ and ẑ × x̂ = ŷ; reversing either factor reverses the product. Multiply by the actual signed q afterward. A negative charge reverses the force for the same instantaneous velocity and field.
For B = 2B₀ẑ and v = 3v₀x̂, v × B = −6v₀B₀ŷ. A charge +q₀ therefore feels −6F₀ŷ, while −q₀ at the same velocity feels +6F₀ŷ, with F₀ = q₀v₀B₀ and positive scales q₀, v₀ and B₀. Adding a parallel component +4v₀ẑ leaves that magnetic force unchanged.
The magnitude is |F_B| = |q|vB sin θ = |q|v_perp B, with θ the angle between velocity and field. Parallel or antiparallel motion gives zero magnetic force, as does instantaneous rest. At a zero force, a direction arrow obtained by dividing by its magnitude is undefined; report the zero vector instead.
A magnetic field line gives the local direction of B. It is not the path that a freely moving charged particle must trace. A particle with only parallel velocity can move along a straight uniform field line, while a particle with perpendicular velocity curves across those directions. Its initial data and force equation decide its trajectory.
The same B, five signed force tests
Compare the five stated velocities and charge signs in the same magnetic field. Preserve the zero-force cases without a normalized direction arrow, and distinguish a particle velocity from a magnetic field line.
Signed cross products and exact zero-force cases
- Magnetic force in common10px/F₀ scale; complete velocity vectors are written
- Exactly zero force: filled point with no normalized direction
- Separate classical test velocities in the same prescribed B/B₀=(0,0,2). Positive q₀,B₀,v₀,m. Zero force has no normalized direction. Velocities and magnetic field lines are not particle trajectories.
- View from +z toward the xy plane: +x is right,+y is up and+B_z points toward the viewer. Only magnetic-force arrows are drawn in this panel, with10px per F₀. Full three-component velocity and force vectors are written explicitly; different test cases are not successive points on an orbit.
- F₀=q₀v₀B₀. Positive and negative charges at the same+3v₀x̂ velocity bend toward−y and+y respectively. A parallel velocity or a stationary particle has exactly zero magnetic force, shown as a filled dot with no direction.
- Every path and data entry uses the exact admitted source records. Only the five declared quarter-turn masks are exact trigonometric special cases. Other values retain binary64 argument/function/arithmetic qualifications,12-significant-digit displays and full stored values. No near-zero snap, orbit integrator, empirical constant or source-field simulation is introduced.
Complete labelled data equivalents preserve every admitted record, scalar, mask, sign and source condition. Original manuscript tables remain separate.
Prescribed magnetic-field components for the five force tests (3 rows)
Separate classical test velocities in the same prescribed B/B₀=(0,0,2). Positive q₀,B₀,v₀,m. Zero force has no normalized direction. Velocities and magnetic field lines are not particle trajectories.
| Row | value |
|---|---|
| 0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 0Exact fraction: 0Retained binary64: 0.0 |
| 2 | 2Exact fraction: 2Retained binary64: 2.0 |
All five signed force controls, including two exact zero-force cases (5 rows)
Separate classical test velocities in the same prescribed B/B₀=(0,0,2). Positive q₀,B₀,v₀,m. Zero force has no normalized direction. Velocities and magnetic field lines are not particle trajectories.
| Row | Separate test case | Signed q/q₀ | v/v₀, x component | v/v₀, y component | v/v₀, z component | F_B/F₀, x component | F_B/F₀, y component | F_B/F₀, z component | Magnetic force has a direction? | Magnetic point-charge power (zero) |
|---|---|---|---|---|---|---|---|---|---|---|
| 0 | positive-x | 1Exact fraction: 1Retained binary64: 1.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | -6Exact fraction: -6Retained binary64: -6.0 | 0Exact fraction: 0Retained binary64: 0.0 | true | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | negative-same-velocity | -1Exact fraction: -1Retained binary64: -1.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 6Exact fraction: 6Retained binary64: 6.0 | 0Exact fraction: 0Retained binary64: 0.0 | true | 0Exact fraction: 0Retained binary64: 0.0 |
| 2Exact zero force: no direction arrow or normalization is defined. | parallel | 1Exact fraction: 1Retained binary64: 1.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | false | 0Exact fraction: 0Retained binary64: 0.0 |
| 3Exact zero force: no direction arrow or normalization is defined. | stationary | -1Exact fraction: -1Retained binary64: -1.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | false | 0Exact fraction: 0Retained binary64: 0.0 |
| 4 | oblique | 1Exact fraction: 1Retained binary64: 1.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | -6Exact fraction: -6Retained binary64: -6.0 | 0Exact fraction: 0Retained binary64: 0.0 | true | 0Exact fraction: 0Retained binary64: 0.0 |
Focus a labelled diagram or table region and use arrow keys, or scroll sideways. Fixed-size readable graphics remain inside their own regions. Complete data disclosures retain exact fractions, symbolic multiples, original precision qualifications and every stored value.
Check energy before solving the orbit
Dot the nonrelativistic equation m dv/dt = q(E + v × B) with v. The left side is d(mv²/2)/dt. The magnetic term vanishes because v·(v × B) = 0, so dK/dt = qE·v. The magnetic force can change the direction of velocity without directly changing the particle’s kinetic energy.
This orthogonality is instantaneous and does not require a uniform or time-independent B. However, a time-dependent magnetic field generally accompanies an induced electric field. Ignoring that electric field while claiming a complete physical changing-field experiment would be inconsistent. Any resulting particle-energy change is attributed through qE·v in the force law.
When E is electrostatic and time independent, E = −∇V implies d(K + qV)/dt = 0 for the test particle. With E = 0, speed is constant even if the trajectory has complicated curvature. Constant speed does not imply constant velocity or zero acceleration.
The conclusion concerns the magnetic force on a classical point charge. A motor can still convert source energy into mechanical work, and a radiating charge can lose energy when radiation reaction is included. Such systems contain additional electrical, material or field-energy terms; their energy balance must include those terms rather than contradicting the scalar-product identity.
Derive the uniform-field circle
Let E = 0 and B = Bẑ with B > 0. The equations are m dv_x/dt = qBv_y, m dv_y/dt = −qBv_x and dv_z/dt = 0. The perpendicular velocity rotates while v_z remains constant. The signed coefficient qB/m records the charge sign; a positive angular frequency magnitude is Ω = |q|B/m.
For nonzero perpendicular speed, the centripetal relation gives r_L = mv_perp/(|q|B). The nonrelativistic gyroperiod is 2πm/(|q|B). Use the perpendicular speed in the radius and the charge magnitude in a positive length or period. A signed radius obtained from q rather than |q| confuses orientation with size.
For q > 0 and initial velocity in +x, the initial force is in −y. Viewed from the +z side looking toward the xy plane, the perpendicular orbit turns clockwise. For q < 0 at the same initial velocity it turns the other way. This viewpoint matters: changing the viewing direction changes the words clockwise and counterclockwise.
If v_perp = 0, the circle degenerates to a straight path parallel to B, or a stationary point if the whole velocity is zero. The formal frequency coefficient may still occur in the differential equation, but no finite-radius circular orbit is being traced. No magnetic force is needed to preserve the unchanged parallel velocity.
Construct both helices from the initial data
Choose t₀ = m/(q₀B₀), L₀ = v₀t₀ and T = t/t₀. In the original helix model B = B₀ẑ, E = 0, r(0) = 0 and v(0) = v₀(3,0,4). For +q₀, integration gives r/L₀ = (3 sin T, 3[cos T − 1], 4T) and v/v₀ = (3 cos T, −3 sin T, 4). Differentiating the position recovers the stated velocity, including the scale L₀/t₀ = v₀.
For −q₀ at the same initial position and velocity, r/L₀ = (3 sin T, 3[1 − cos T], 4T) and v/v₀ = (3 cos T, +3 sin T, 4). The centers of the xy projections are (0,−3L₀) and (0,+3L₀). Their radii are both 3L₀; the sign changes their rotation and center, not their positive radius.
The total speed is 5v₀ and K = (25/2)mv₀² for either charge, since 3² + 4² = 25. The period is 2πt₀. Each turn advances 4v₀(2πt₀) = 8πL₀ along +z, so the helix pitch is 8πL₀. Total speed belongs in kinetic energy; parallel speed belongs in pitch; perpendicular speed belongs in radius.
The diagrams separate an xy projection from axial advance against T. A projected closed circle does not mean the three-dimensional particle has returned to its starting point. At T = 2π its xy coordinates are zero again, while z = 8πL₀. A schematic perspective view must not silently rescale a radius or pitch.
Opposite rotations, the same axial advance
Compare the opposite rotations in the xy projection and the common axial advance of two particles with the same initial velocity and opposite charge. Radius, pitch and kinetic energy use their explicitly stated velocity components and scales.
Equal-scale xy projections, viewed from +z
- +q₀: ordered trajectory samples; viewed from+z
- −q₀: opposite transverse rotation
- Five declared quarter-turn controls: small blue circles (+q₀), large orange circles (−q₀); arrows join ordered source points
Axial advance shown separately
- +q₀: ordered trajectory samples ; same axial advance
- −q₀: opposite transverse rotation ; coincident z values
- Five declared controls: small blue circles (+q₀), large orange circles (−q₀); exact intended T/π labels, retained T in tables
- Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
- Scales: t₀=m/(q₀B₀),L₀=v₀t₀,K₀=mv₀². Radius3L₀ uses perpendicular speed3v₀; total speed5v₀ gives K/K₀=25/2. Parallel speed4v₀ gives period2πt₀ and pitch8πL₀. Choose v₀ so all selected speeds remain much less than c.
- The xy plot has equal physical x/y scales and is viewed from +z. The +q₀ trajectory initially bends toward−y and rotates clockwise; −q₀ bends toward+y. Curved-path arrows join ordered retained source points over finite intervals; they are not extra instantaneous velocity measurements or magnetic field lines.
- The xy return at one turn does not return the particle in3D: z advances8πL₀. The second panel uses the exact intended sampling label T/π=i/64 on the horizontal axis; retained binary64 T values and the symbolic period/pitch remain in the tables. The two axial curves coincide, with solid blue visible between orange dashes.
- Every path and data entry uses the exact admitted source records. Only the five declared quarter-turn masks are exact trigonometric special cases. Other values retain binary64 argument/function/arithmetic qualifications,12-significant-digit displays and full stored values. No near-zero snap, orbit integrator, empirical constant or source-field simulation is introduced.
Complete labelled data equivalents preserve every admitted record, scalar, mask, sign and source condition. Original manuscript tables remain separate.
Controls of the +q₀ helix in the declared scales
All 129 common angle labels, stored arguments, exact masks and evaluations (129 rows)
Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
| Row | Angle index | Exact intended T/π sampling label | Retained binary64 T=t/t₀ | Sine at the stated argument/mask | Cosine at the stated argument/mask | Exact analytic quarter-turn mask? | Original function-specific evaluation scope |
|---|---|---|---|---|---|---|---|
| 0 | 0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Retained binary64: 0.0binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1Exact fraction: 1Retained binary64: 1.0 | true | exact analytic sine/cosine at declared quarter turn |
| 1 | 1 | 1/64Exact fraction: 1/64Retained binary64: 0.015625 | 0.0490873852123Retained binary64: 0.04908738521234052binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0490676743274Retained binary64: 0.049067674327418015binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.998795456205Retained binary64: 0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 2 | 2 | 1/32Exact fraction: 1/32Retained binary64: 0.03125 | 0.0981747704247Retained binary64: 0.09817477042468103binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0980171403296Retained binary64: 0.0980171403295606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.995184726672Retained binary64: 0.9951847266721969binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 3 | 3 | 3/64Exact fraction: 3/64Retained binary64: 0.046875 | 0.147262155637Retained binary64: 0.14726215563702155binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.146730474455Retained binary64: 0.14673047445536175binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.989176509965Retained binary64: 0.989176509964781binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 4 | 4 | 1/16Exact fraction: 1/16Retained binary64: 0.0625 | 0.196349540849Retained binary64: 0.19634954084936207binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.195090322016Retained binary64: 0.19509032201612825binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.980785280403Retained binary64: 0.9807852804032304binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 5 | 5 | 5/64Exact fraction: 5/64Retained binary64: 0.078125 | 0.245436926062Retained binary64: 0.2454369260617026binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.242980179903Retained binary64: 0.24298017990326387binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.970031253195Retained binary64: 0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 6 | 6 | 3/32Exact fraction: 3/32Retained binary64: 0.09375 | 0.294524311274Retained binary64: 0.2945243112740431binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.290284677254Retained binary64: 0.29028467725446233binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.956940335732Retained binary64: 0.9569403357322088binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 7 | 7 | 7/64Exact fraction: 7/64Retained binary64: 0.109375 | 0.343611696486Retained binary64: 0.3436116964863836binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.336889853392Retained binary64: 0.33688985339222005binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.941544065183Retained binary64: 0.9415440651830208binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 8 | 8 | 1/8Exact fraction: 1/8Retained binary64: 0.125 | 0.392699081699Retained binary64: 0.39269908169872414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.382683432365Retained binary64: 0.3826834323650898binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.923879532511Retained binary64: 0.9238795325112867binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 9 | 9 | 9/64Exact fraction: 9/64Retained binary64: 0.140625 | 0.441786466911Retained binary64: 0.44178646691106466binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.42755509343Retained binary64: 0.4275550934302821binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.903989293123Retained binary64: 0.9039892931234433binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 10 | 10 | 5/32Exact fraction: 5/32Retained binary64: 0.15625 | 0.490873852123Retained binary64: 0.4908738521234052binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.471396736826Retained binary64: 0.47139673682599764binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.881921264348Retained binary64: 0.881921264348355binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 11 | 11 | 11/64Exact fraction: 11/64Retained binary64: 0.171875 | 0.539961237336Retained binary64: 0.5399612373357456binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.514102744193Retained binary64: 0.5141027441932217binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.85772861Retained binary64: 0.8577286100002721binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 12 | 12 | 3/16Exact fraction: 3/16Retained binary64: 0.1875 | 0.589048622548Retained binary64: 0.5890486225480862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.55557023302Retained binary64: 0.5555702330196022binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.831469612303Retained binary64: 0.8314696123025452binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 13 | 13 | 13/64Exact fraction: 13/64Retained binary64: 0.203125 | 0.63813600776Retained binary64: 0.6381360077604268binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.595699304492Retained binary64: 0.5956993044924334binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.803207531481Retained binary64: 0.8032075314806449binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 14 | 14 | 7/32Exact fraction: 7/32Retained binary64: 0.21875 | 0.687223392973Retained binary64: 0.6872233929727672binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.634393284164Retained binary64: 0.6343932841636455binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.773010453363Retained binary64: 0.773010453362737binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 15 | 15 | 15/64Exact fraction: 15/64Retained binary64: 0.234375 | 0.736310778185Retained binary64: 0.7363107781851077binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.671558954847Retained binary64: 0.6715589548470183binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.740951125355Retained binary64: 0.7409511253549592binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 16 | 16 | 1/4Exact fraction: 1/4Retained binary64: 0.25 | 0.785398163397Retained binary64: 0.7853981633974483binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.707106781187Retained binary64: 0.7071067811865476binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.707106781187Retained binary64: 0.7071067811865476binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 17 | 17 | 17/64Exact fraction: 17/64Retained binary64: 0.265625 | 0.83448554861Retained binary64: 0.8344855486097889binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.740951125355Retained binary64: 0.7409511253549591binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.671558954847Retained binary64: 0.6715589548470183binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 18 | 18 | 9/32Exact fraction: 9/32Retained binary64: 0.28125 | 0.883572933822Retained binary64: 0.8835729338221293binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.773010453363Retained binary64: 0.7730104533627369binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.634393284164Retained binary64: 0.6343932841636455binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 19 | 19 | 19/64Exact fraction: 19/64Retained binary64: 0.296875 | 0.932660319034Retained binary64: 0.9326603190344698binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.803207531481Retained binary64: 0.8032075314806448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.595699304492Retained binary64: 0.5956993044924335binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 20 | 20 | 5/16Exact fraction: 5/16Retained binary64: 0.3125 | 0.981747704247Retained binary64: 0.9817477042468103binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.831469612303Retained binary64: 0.8314696123025452binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.55557023302Retained binary64: 0.5555702330196023binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 21 | 21 | 21/64Exact fraction: 21/64Retained binary64: 0.328125 | 1.03083508946Retained binary64: 1.030835089459151binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.85772861Retained binary64: 0.8577286100002721binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.514102744193Retained binary64: 0.5141027441932217binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 22 | 22 | 11/32Exact fraction: 11/32Retained binary64: 0.34375 | 1.07992247467Retained binary64: 1.0799224746714913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.881921264348Retained binary64: 0.8819212643483549binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.471396736826Retained binary64: 0.4713967368259978binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 23 | 23 | 23/64Exact fraction: 23/64Retained binary64: 0.359375 | 1.12900985988Retained binary64: 1.1290098598838318binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.903989293123Retained binary64: 0.9039892931234433binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.42755509343Retained binary64: 0.4275550934302822binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 24 | 24 | 3/8Exact fraction: 3/8Retained binary64: 0.375 | 1.1780972451Retained binary64: 1.1780972450961724binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.923879532511Retained binary64: 0.9238795325112867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.382683432365Retained binary64: 0.38268343236508984binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 25 | 25 | 25/64Exact fraction: 25/64Retained binary64: 0.390625 | 1.22718463031Retained binary64: 1.227184630308513binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.941544065183Retained binary64: 0.9415440651830208binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.336889853392Retained binary64: 0.33688985339222005binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 26 | 26 | 13/32Exact fraction: 13/32Retained binary64: 0.40625 | 1.27627201552Retained binary64: 1.2762720155208536binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.956940335732Retained binary64: 0.9569403357322089binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.290284677254Retained binary64: 0.29028467725446233binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 27 | 27 | 27/64Exact fraction: 27/64Retained binary64: 0.421875 | 1.32535940073Retained binary64: 1.325359400733194binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.970031253195Retained binary64: 0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.242980179903Retained binary64: 0.24298017990326398binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 28 | 28 | 7/16Exact fraction: 7/16Retained binary64: 0.4375 | 1.37444678595Retained binary64: 1.3744467859455345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.980785280403Retained binary64: 0.9807852804032304binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.195090322016Retained binary64: 0.19509032201612833binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 29 | 29 | 29/64Exact fraction: 29/64Retained binary64: 0.453125 | 1.42353417116Retained binary64: 1.423534171157875binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.989176509965Retained binary64: 0.989176509964781binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.146730474455Retained binary64: 0.14673047445536175binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 30 | 30 | 15/32Exact fraction: 15/32Retained binary64: 0.46875 | 1.47262155637Retained binary64: 1.4726215563702154binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.995184726672Retained binary64: 0.9951847266721968binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0980171403296Retained binary64: 0.09801714032956077binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 31 | 31 | 31/64Exact fraction: 31/64Retained binary64: 0.484375 | 1.52170894158Retained binary64: 1.521708941582556binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.998795456205Retained binary64: 0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0490676743274Retained binary64: 0.049067674327418126binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 32 | 32 | 1/2Exact fraction: 1/2Retained binary64: 0.5 | 1.57079632679Retained binary64: 1.5707963267948966binary64; 12 significant-digit display; only exact zero sign canonicalized | 1Exact fraction: 1Retained binary64: 1.0 | 0Exact fraction: 0Retained binary64: 0.0 | true | exact analytic sine/cosine at declared quarter turn |
| 33 | 33 | 33/64Exact fraction: 33/64Retained binary64: 0.515625 | 1.61988371201Retained binary64: 1.6198837120072371binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.998795456205Retained binary64: 0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0490676743274Retained binary64: -0.04906767432741801binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 34 | 34 | 17/32Exact fraction: 17/32Retained binary64: 0.53125 | 1.66897109722Retained binary64: 1.6689710972195777binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.995184726672Retained binary64: 0.9951847266721969binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0980171403296Retained binary64: -0.09801714032956065binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 35 | 35 | 35/64Exact fraction: 35/64Retained binary64: 0.546875 | 1.71805848243Retained binary64: 1.718058482431918binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.989176509965Retained binary64: 0.989176509964781binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.146730474455Retained binary64: -0.14673047445536164binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 36 | 36 | 9/16Exact fraction: 9/16Retained binary64: 0.5625 | 1.76714586764Retained binary64: 1.7671458676442586binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.980785280403Retained binary64: 0.9807852804032304binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.195090322016Retained binary64: -0.1950903220161282binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 37 | 37 | 37/64Exact fraction: 37/64Retained binary64: 0.578125 | 1.81623325286Retained binary64: 1.8162332528565992binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.970031253195Retained binary64: 0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.242980179903Retained binary64: -0.24298017990326387binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 38 | 38 | 19/32Exact fraction: 19/32Retained binary64: 0.59375 | 1.86532063807Retained binary64: 1.8653206380689396binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.956940335732Retained binary64: 0.9569403357322089binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.290284677254Retained binary64: -0.29028467725446216binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 39 | 39 | 39/64Exact fraction: 39/64Retained binary64: 0.609375 | 1.91440802328Retained binary64: 1.9144080232812801binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.941544065183Retained binary64: 0.9415440651830208binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.336889853392Retained binary64: -0.33688985339221994binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 40 | 40 | 5/8Exact fraction: 5/8Retained binary64: 0.625 | 1.96349540849Retained binary64: 1.9634954084936207binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.923879532511Retained binary64: 0.9238795325112867binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.382683432365Retained binary64: -0.3826834323650897binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 41 | 41 | 41/64Exact fraction: 41/64Retained binary64: 0.640625 | 2.01258279371Retained binary64: 2.012582793705961binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.903989293123Retained binary64: 0.9039892931234434binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.42755509343Retained binary64: -0.42755509343028186binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 42 | 42 | 21/32Exact fraction: 21/32Retained binary64: 0.65625 | 2.06167017892Retained binary64: 2.061670178918302binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.881921264348Retained binary64: 0.881921264348355binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.471396736826Retained binary64: -0.4713967368259977binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 43 | 43 | 43/64Exact fraction: 43/64Retained binary64: 0.671875 | 2.11075756413Retained binary64: 2.110757564130642binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.85772861Retained binary64: 0.8577286100002721binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.514102744193Retained binary64: -0.5141027441932216binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 44 | 44 | 11/16Exact fraction: 11/16Retained binary64: 0.6875 | 2.15984494934Retained binary64: 2.1598449493429825binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.831469612303Retained binary64: 0.8314696123025453binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.55557023302Retained binary64: -0.555570233019602binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 45 | 45 | 45/64Exact fraction: 45/64Retained binary64: 0.703125 | 2.20893233456Retained binary64: 2.2089323345553233binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.803207531481Retained binary64: 0.8032075314806449binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.595699304492Retained binary64: -0.5956993044924334binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 46 | 46 | 23/32Exact fraction: 23/32Retained binary64: 0.71875 | 2.25801971977Retained binary64: 2.2580197197676637binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.773010453363Retained binary64: 0.7730104533627371binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.634393284164Retained binary64: -0.6343932841636454binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 47 | 47 | 47/64Exact fraction: 47/64Retained binary64: 0.734375 | 2.30710710498Retained binary64: 2.3071071049800045binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.740951125355Retained binary64: 0.740951125354959binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.671558954847Retained binary64: -0.6715589548470184binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 48 | 48 | 3/4Exact fraction: 3/4Retained binary64: 0.75 | 2.35619449019Retained binary64: 2.356194490192345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.707106781187Retained binary64: 0.7071067811865476binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.707106781187Retained binary64: -0.7071067811865475binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 49 | 49 | 49/64Exact fraction: 49/64Retained binary64: 0.765625 | 2.4052818754Retained binary64: 2.405281875404685binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.671558954847Retained binary64: 0.6715589548470186binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.740951125355Retained binary64: -0.7409511253549589binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 50 | 50 | 25/32Exact fraction: 25/32Retained binary64: 0.78125 | 2.45436926062Retained binary64: 2.454369260617026binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.634393284164Retained binary64: 0.6343932841636455binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.773010453363Retained binary64: -0.773010453362737binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 51 | 51 | 51/64Exact fraction: 51/64Retained binary64: 0.796875 | 2.50345664583Retained binary64: 2.5034566458293663binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.595699304492Retained binary64: 0.5956993044924335binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.803207531481Retained binary64: -0.8032075314806448binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 52 | 52 | 13/16Exact fraction: 13/16Retained binary64: 0.8125 | 2.55254403104Retained binary64: 2.552544031041707binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.55557023302Retained binary64: 0.5555702330196022binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.831469612303Retained binary64: -0.8314696123025453binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 53 | 53 | 53/64Exact fraction: 53/64Retained binary64: 0.828125 | 2.60163141625Retained binary64: 2.6016314162540475binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.514102744193Retained binary64: 0.5141027441932218binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.85772861Retained binary64: -0.857728610000272binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 54 | 54 | 27/32Exact fraction: 27/32Retained binary64: 0.84375 | 2.65071880147Retained binary64: 2.650718801466388binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.471396736826Retained binary64: 0.4713967368259978binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.881921264348Retained binary64: -0.8819212643483549binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 55 | 55 | 55/64Exact fraction: 55/64Retained binary64: 0.859375 | 2.69980618668Retained binary64: 2.6998061866787286binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.42755509343Retained binary64: 0.42755509343028203binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.903989293123Retained binary64: -0.9039892931234433binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 56 | 56 | 7/8Exact fraction: 7/8Retained binary64: 0.875 | 2.74889357189Retained binary64: 2.748893571891069binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.382683432365Retained binary64: 0.3826834323650899binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.923879532511Retained binary64: -0.9238795325112867binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 57 | 57 | 57/64Exact fraction: 57/64Retained binary64: 0.890625 | 2.7979809571Retained binary64: 2.7979809571034093binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.336889853392Retained binary64: 0.33688985339222033binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.941544065183Retained binary64: -0.9415440651830207binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 58 | 58 | 29/32Exact fraction: 29/32Retained binary64: 0.90625 | 2.84706834232Retained binary64: 2.84706834231575binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.290284677254Retained binary64: 0.2902846772544624binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.956940335732Retained binary64: -0.9569403357322088binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 59 | 59 | 59/64Exact fraction: 59/64Retained binary64: 0.921875 | 2.89615572753Retained binary64: 2.8961557275280905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.242980179903Retained binary64: 0.24298017990326407binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.970031253195Retained binary64: -0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 60 | 60 | 15/16Exact fraction: 15/16Retained binary64: 0.9375 | 2.94524311274Retained binary64: 2.945243112740431binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.195090322016Retained binary64: 0.1950903220161286binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.980785280403Retained binary64: -0.9807852804032304binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 61 | 61 | 61/64Exact fraction: 61/64Retained binary64: 0.953125 | 2.99433049795Retained binary64: 2.9943304979527716binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.146730474455Retained binary64: 0.1467304744553618binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.989176509965Retained binary64: -0.989176509964781binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 62 | 62 | 31/32Exact fraction: 31/32Retained binary64: 0.96875 | 3.04341788317Retained binary64: 3.043417883165112binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0980171403296Retained binary64: 0.09801714032956083binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.995184726672Retained binary64: -0.9951847266721968binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 63 | 63 | 63/64Exact fraction: 63/64Retained binary64: 0.984375 | 3.09250526838Retained binary64: 3.0925052683774528binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0490676743274Retained binary64: 0.049067674327417966binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.998795456205Retained binary64: -0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 64 | 64 | 1Exact fraction: 1Retained binary64: 1.0 | 3.14159265359Retained binary64: 3.141592653589793binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1Exact fraction: -1Retained binary64: -1.0 | true | exact analytic sine/cosine at declared quarter turn |
| 65 | 65 | 65/64Exact fraction: 65/64Retained binary64: 1.015625 | 3.1906800388Retained binary64: 3.1906800388021335binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0490676743274Retained binary64: -0.049067674327417724binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.998795456205Retained binary64: -0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 66 | 66 | 33/32Exact fraction: 33/32Retained binary64: 1.03125 | 3.23976742401Retained binary64: 3.2397674240144743binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0980171403296Retained binary64: -0.09801714032956059binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.995184726672Retained binary64: -0.9951847266721969binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 67 | 67 | 67/64Exact fraction: 67/64Retained binary64: 1.046875 | 3.28885480923Retained binary64: 3.2888548092268146binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.146730474455Retained binary64: -0.14673047445536158binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.989176509965Retained binary64: -0.989176509964781binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 68 | 68 | 17/16Exact fraction: 17/16Retained binary64: 1.0625 | 3.33794219444Retained binary64: 3.3379421944391554binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.195090322016Retained binary64: -0.19509032201612836binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.980785280403Retained binary64: -0.9807852804032304binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 69 | 69 | 69/64Exact fraction: 69/64Retained binary64: 1.078125 | 3.38702957965Retained binary64: 3.3870295796514958binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.242980179903Retained binary64: -0.24298017990326382binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.970031253195Retained binary64: -0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 70 | 70 | 35/32Exact fraction: 35/32Retained binary64: 1.09375 | 3.43611696486Retained binary64: 3.436116964863836binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.290284677254Retained binary64: -0.2902846772544621binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.956940335732Retained binary64: -0.9569403357322089binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 71 | 71 | 71/64Exact fraction: 71/64Retained binary64: 1.109375 | 3.48520435008Retained binary64: 3.485204350076177binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.336889853392Retained binary64: -0.3368898533922201binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.941544065183Retained binary64: -0.9415440651830208binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 72 | 72 | 9/8Exact fraction: 9/8Retained binary64: 1.125 | 3.53429173529Retained binary64: 3.5342917352885173binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.382683432365Retained binary64: -0.38268343236508967binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.923879532511Retained binary64: -0.9238795325112868binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 73 | 73 | 73/64Exact fraction: 73/64Retained binary64: 1.140625 | 3.5833791205Retained binary64: 3.5833791205008576binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.42755509343Retained binary64: -0.4275550934302818binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.903989293123Retained binary64: -0.9039892931234434binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 74 | 74 | 37/32Exact fraction: 37/32Retained binary64: 1.15625 | 3.63246650571Retained binary64: 3.6324665057131984binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.471396736826Retained binary64: -0.47139673682599764binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.881921264348Retained binary64: -0.881921264348355binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 75 | 75 | 75/64Exact fraction: 75/64Retained binary64: 1.171875 | 3.68155389093Retained binary64: 3.6815538909255388binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.514102744193Retained binary64: -0.5141027441932216binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.85772861Retained binary64: -0.8577286100002721binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 76 | 76 | 19/16Exact fraction: 19/16Retained binary64: 1.1875 | 3.73064127614Retained binary64: 3.730641276137879binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.55557023302Retained binary64: -0.555570233019602binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.831469612303Retained binary64: -0.8314696123025455binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 77 | 77 | 77/64Exact fraction: 77/64Retained binary64: 1.203125 | 3.77972866135Retained binary64: 3.77972866135022binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.595699304492Retained binary64: -0.5956993044924332binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.803207531481Retained binary64: -0.8032075314806449binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 78 | 78 | 39/32Exact fraction: 39/32Retained binary64: 1.21875 | 3.82881604656Retained binary64: 3.8288160465625602binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.634393284164Retained binary64: -0.6343932841636453binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.773010453363Retained binary64: -0.7730104533627371binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 79 | 79 | 79/64Exact fraction: 79/64Retained binary64: 1.234375 | 3.87790343177Retained binary64: 3.877903431774901binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.671558954847Retained binary64: -0.6715589548470184binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.740951125355Retained binary64: -0.7409511253549591binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 80 | 80 | 5/4Exact fraction: 5/4Retained binary64: 1.25 | 3.92699081699Retained binary64: 3.9269908169872414binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.707106781187Retained binary64: -0.7071067811865475binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.707106781187Retained binary64: -0.7071067811865477binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 81 | 81 | 81/64Exact fraction: 81/64Retained binary64: 1.265625 | 3.9760782022Retained binary64: 3.9760782021995817binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.740951125355Retained binary64: -0.7409511253549589binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.671558954847Retained binary64: -0.6715589548470187binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 82 | 82 | 41/32Exact fraction: 41/32Retained binary64: 1.28125 | 4.02516558741Retained binary64: 4.025165587411922binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.773010453363Retained binary64: -0.7730104533627367binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.634393284164Retained binary64: -0.6343932841636459binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 83 | 83 | 83/64Exact fraction: 83/64Retained binary64: 1.296875 | 4.07425297262Retained binary64: 4.074252972624263binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.803207531481Retained binary64: -0.803207531480645binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.595699304492Retained binary64: -0.5956993044924331binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 84 | 84 | 21/16Exact fraction: 21/16Retained binary64: 1.3125 | 4.12334035784Retained binary64: 4.123340357836604binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.831469612303Retained binary64: -0.8314696123025452binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.55557023302Retained binary64: -0.5555702330196022binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 85 | 85 | 85/64Exact fraction: 85/64Retained binary64: 1.328125 | 4.17242774305Retained binary64: 4.172427743048944binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.85772861Retained binary64: -0.857728610000272binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.514102744193Retained binary64: -0.5141027441932218binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 86 | 86 | 43/32Exact fraction: 43/32Retained binary64: 1.34375 | 4.22151512826Retained binary64: 4.221515128261284binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.881921264348Retained binary64: -0.8819212643483549binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.471396736826Retained binary64: -0.47139673682599786binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 87 | 87 | 87/64Exact fraction: 87/64Retained binary64: 1.359375 | 4.27060251347Retained binary64: 4.270602513473625binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.903989293123Retained binary64: -0.9039892931234431binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.42755509343Retained binary64: -0.4275550934302825binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 88 | 88 | 11/8Exact fraction: 11/8Retained binary64: 1.375 | 4.31968989869Retained binary64: 4.319689898685965binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.923879532511Retained binary64: -0.9238795325112865binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.382683432365Retained binary64: -0.38268343236509034binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 89 | 89 | 89/64Exact fraction: 89/64Retained binary64: 1.390625 | 4.3687772839Retained binary64: 4.368777283898306binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.941544065183Retained binary64: -0.9415440651830208binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.336889853392Retained binary64: -0.33688985339221994binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 90 | 90 | 45/32Exact fraction: 45/32Retained binary64: 1.40625 | 4.41786466911Retained binary64: 4.417864669110647binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.956940335732Retained binary64: -0.9569403357322088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.290284677254Retained binary64: -0.29028467725446244binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 91 | 91 | 91/64Exact fraction: 91/64Retained binary64: 1.421875 | 4.46695205432Retained binary64: 4.466952054322987binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.970031253195Retained binary64: -0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.242980179903Retained binary64: -0.24298017990326412binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 92 | 92 | 23/16Exact fraction: 23/16Retained binary64: 1.4375 | 4.51603943954Retained binary64: 4.516039439535327binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.980785280403Retained binary64: -0.9807852804032303binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.195090322016Retained binary64: -0.19509032201612866binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 93 | 93 | 93/64Exact fraction: 93/64Retained binary64: 1.453125 | 4.56512682475Retained binary64: 4.565126824747668binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.989176509965Retained binary64: -0.9891765099647809binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.146730474455Retained binary64: -0.1467304744553623binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 94 | 94 | 47/32Exact fraction: 47/32Retained binary64: 1.46875 | 4.61421420996Retained binary64: 4.614214209960009binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.995184726672Retained binary64: -0.9951847266721969binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0980171403296Retained binary64: -0.09801714032956045binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 95 | 95 | 95/64Exact fraction: 95/64Retained binary64: 1.484375 | 4.66330159517Retained binary64: 4.663301595172349binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.998795456205Retained binary64: -0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0490676743274Retained binary64: -0.04906767432741803binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 96 | 96 | 3/2Exact fraction: 3/2Retained binary64: 1.5 | 4.71238898038Retained binary64: 4.71238898038469binary64; 12 significant-digit display; only exact zero sign canonicalized | -1Exact fraction: -1Retained binary64: -1.0 | 0Exact fraction: 0Retained binary64: 0.0 | true | exact analytic sine/cosine at declared quarter turn |
| 97 | 97 | 97/64Exact fraction: 97/64Retained binary64: 1.515625 | 4.7614763656Retained binary64: 4.76147636559703binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.998795456205Retained binary64: -0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0490676743274Retained binary64: 0.04906767432741766binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 98 | 98 | 49/32Exact fraction: 49/32Retained binary64: 1.53125 | 4.81056375081Retained binary64: 4.81056375080937binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.995184726672Retained binary64: -0.9951847266721969binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0980171403296Retained binary64: 0.09801714032956009binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 99 | 99 | 99/64Exact fraction: 99/64Retained binary64: 1.546875 | 4.85965113602Retained binary64: 4.859651136021712binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.989176509965Retained binary64: -0.9891765099647809binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.146730474455Retained binary64: 0.14673047445536194binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 100 | 100 | 25/16Exact fraction: 25/16Retained binary64: 1.5625 | 4.90873852123Retained binary64: 4.908738521234052binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.980785280403Retained binary64: -0.9807852804032304binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.195090322016Retained binary64: 0.1950903220161283binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 101 | 101 | 101/64Exact fraction: 101/64Retained binary64: 1.578125 | 4.95782590645Retained binary64: 4.957825906446392binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.970031253195Retained binary64: -0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.242980179903Retained binary64: 0.24298017990326376binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 102 | 102 | 51/32Exact fraction: 51/32Retained binary64: 1.59375 | 5.00691329166Retained binary64: 5.006913291658733binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.956940335732Retained binary64: -0.9569403357322089binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.290284677254Retained binary64: 0.29028467725446205binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 103 | 103 | 103/64Exact fraction: 103/64Retained binary64: 1.609375 | 5.05600067687Retained binary64: 5.056000676871073binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.941544065183Retained binary64: -0.9415440651830209binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.336889853392Retained binary64: 0.3368898533922196binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 104 | 104 | 13/8Exact fraction: 13/8Retained binary64: 1.625 | 5.10508806208Retained binary64: 5.105088062083414binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.923879532511Retained binary64: -0.9238795325112866binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.382683432365Retained binary64: 0.38268343236509binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 105 | 105 | 105/64Exact fraction: 105/64Retained binary64: 1.640625 | 5.1541754473Retained binary64: 5.154175447295755binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.903989293123Retained binary64: -0.9039892931234433binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.42755509343Retained binary64: 0.42755509343028214binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 106 | 106 | 53/32Exact fraction: 53/32Retained binary64: 1.65625 | 5.20326283251Retained binary64: 5.203262832508095binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.881921264348Retained binary64: -0.881921264348355binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.471396736826Retained binary64: 0.4713967368259976binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 107 | 107 | 107/64Exact fraction: 107/64Retained binary64: 1.671875 | 5.25235021772Retained binary64: 5.252350217720435binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.85772861Retained binary64: -0.8577286100002722binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.514102744193Retained binary64: 0.5141027441932216binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 108 | 108 | 27/16Exact fraction: 27/16Retained binary64: 1.6875 | 5.30143760293Retained binary64: 5.301437602932776binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.831469612303Retained binary64: -0.8314696123025455binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.55557023302Retained binary64: 0.5555702330196018binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 109 | 109 | 109/64Exact fraction: 109/64Retained binary64: 1.703125 | 5.35052498815Retained binary64: 5.350524988145116binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.803207531481Retained binary64: -0.8032075314806453binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.595699304492Retained binary64: 0.5956993044924328binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 110 | 110 | 55/32Exact fraction: 55/32Retained binary64: 1.71875 | 5.39961237336Retained binary64: 5.399612373357457binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.773010453363Retained binary64: -0.7730104533627369binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.634393284164Retained binary64: 0.6343932841636456binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 111 | 111 | 111/64Exact fraction: 111/64Retained binary64: 1.734375 | 5.44869975857Retained binary64: 5.448699758569798binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.740951125355Retained binary64: -0.7409511253549591binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.671558954847Retained binary64: 0.6715589548470183binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 112 | 112 | 7/4Exact fraction: 7/4Retained binary64: 1.75 | 5.49778714378Retained binary64: 5.497787143782138binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.707106781187Retained binary64: -0.7071067811865477binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.707106781187Retained binary64: 0.7071067811865474binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 113 | 113 | 113/64Exact fraction: 113/64Retained binary64: 1.765625 | 5.54687452899Retained binary64: 5.546874528994478binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.671558954847Retained binary64: -0.6715589548470187binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.740951125355Retained binary64: 0.7409511253549589binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 114 | 114 | 57/32Exact fraction: 57/32Retained binary64: 1.78125 | 5.59596191421Retained binary64: 5.595961914206819binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.634393284164Retained binary64: -0.6343932841636459binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.773010453363Retained binary64: 0.7730104533627365binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 115 | 115 | 115/64Exact fraction: 115/64Retained binary64: 1.796875 | 5.64504929942Retained binary64: 5.64504929941916binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.595699304492Retained binary64: -0.5956993044924332binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.803207531481Retained binary64: 0.803207531480645binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 116 | 116 | 29/16Exact fraction: 29/16Retained binary64: 1.8125 | 5.69413668463Retained binary64: 5.6941366846315binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.55557023302Retained binary64: -0.5555702330196022binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.831469612303Retained binary64: 0.8314696123025452binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 117 | 117 | 117/64Exact fraction: 117/64Retained binary64: 1.828125 | 5.74322406984Retained binary64: 5.743224069843841binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.514102744193Retained binary64: -0.5141027441932219binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.85772861Retained binary64: 0.857728610000272binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 118 | 118 | 59/32Exact fraction: 59/32Retained binary64: 1.84375 | 5.79231145506Retained binary64: 5.792311455056181binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.471396736826Retained binary64: -0.4713967368259979binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.881921264348Retained binary64: 0.8819212643483548binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 119 | 119 | 119/64Exact fraction: 119/64Retained binary64: 1.859375 | 5.84139884027Retained binary64: 5.841398840268521binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.42755509343Retained binary64: -0.42755509343028253binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.903989293123Retained binary64: 0.9039892931234431binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 120 | 120 | 15/8Exact fraction: 15/8Retained binary64: 1.875 | 5.89048622548Retained binary64: 5.890486225480862binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.382683432365Retained binary64: -0.3826834323650904binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.923879532511Retained binary64: 0.9238795325112865binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 121 | 121 | 121/64Exact fraction: 121/64Retained binary64: 1.890625 | 5.93957361069Retained binary64: 5.939573610693203binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.336889853392Retained binary64: -0.33688985339222binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.941544065183Retained binary64: 0.9415440651830208binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 122 | 122 | 61/32Exact fraction: 61/32Retained binary64: 1.90625 | 5.98866099591Retained binary64: 5.988660995905543binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.290284677254Retained binary64: -0.2902846772544625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.956940335732Retained binary64: 0.9569403357322088binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 123 | 123 | 123/64Exact fraction: 123/64Retained binary64: 1.921875 | 6.03774838112Retained binary64: 6.037748381117884binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.242980179903Retained binary64: -0.24298017990326418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.970031253195Retained binary64: 0.970031253194544binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 124 | 124 | 31/16Exact fraction: 31/16Retained binary64: 1.9375 | 6.08683576633Retained binary64: 6.086835766330224binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.195090322016Retained binary64: -0.19509032201612872binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.980785280403Retained binary64: 0.9807852804032303binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 125 | 125 | 125/64Exact fraction: 125/64Retained binary64: 1.953125 | 6.13592315154Retained binary64: 6.135923151542564binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.146730474455Retained binary64: -0.1467304744553624binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.989176509965Retained binary64: 0.9891765099647809binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 126 | 126 | 63/32Exact fraction: 63/32Retained binary64: 1.96875 | 6.18501053675Retained binary64: 6.1850105367549055binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0980171403296Retained binary64: -0.0980171403295605binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.995184726672Retained binary64: 0.9951847266721969binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 127 | 127 | 127/64Exact fraction: 127/64Retained binary64: 1.984375 | 6.23409792197Retained binary64: 6.234097921967246binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0490676743274Retained binary64: -0.04906767432741809binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.998795456205Retained binary64: 0.9987954562051724binary64; 12 significant-digit display; only exact zero sign canonicalized | false | sin/cos at stored binary64 T; intended mathematical angle i*pi/64 |
| 128 | 128 | 2Exact fraction: 2Retained binary64: 2.0 | 6.28318530718Retained binary64: 6.283185307179586binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1Exact fraction: 1Retained binary64: 1.0 | true | exact analytic sine/cosine at declared quarter turn |
All 129 +q₀ helix records (129 rows)
Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
| Row | Common angle-audit index | r/L₀, x component | r/L₀, y component | r/L₀, z component | v/v₀, x component | v/v₀, y component | v/v₀, z component | a/(v₀/t₀), x component | a/(v₀/t₀), y component | a/(v₀/t₀), z component | Speed²/v₀² | K/K₀ | Magnetic point-charge power (zero) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Retained binary64: 0.0binary64; 12 significant-digit display; only exact zero sign canonicalized | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 1 | 0.147203022982Retained binary64: 0.14720302298225404binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00361363138448Retained binary64: -0.003613631384482785binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196349540849Retained binary64: 0.19634954084936207binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225404binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.147203022982Retained binary64: -0.14720302298225404binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 2 | 2 | 0.294051420989Retained binary64: 0.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0144458199834Retained binary64: -0.014445819983409214binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.392699081699Retained binary64: 0.39269908169872414binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.294051420989Retained binary64: -0.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 3 | 3 | 0.440191423366Retained binary64: 0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0324704701057Retained binary64: -0.03247047010565696binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.589048622548Retained binary64: 0.5890486225480862binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.440191423366Retained binary64: -0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 4 | 4 | 0.585270966048Retained binary64: 0.5852709660483848binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0576441587903Retained binary64: -0.05764415879030871binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.785398163397Retained binary64: 0.7853981633974483binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.5852709660483848binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.585270966048Retained binary64: -0.5852709660483848binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 5 | 5 | 0.72894053971Retained binary64: 0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0899062404164Retained binary64: -0.08990624041636808binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.981747704247Retained binary64: 0.9817477042468103binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.72894053971Retained binary64: -0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 6 | 6 | 0.870854031763Retained binary64: 0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.129178992803Retained binary64: -0.12917899280337353binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1780972451Retained binary64: 1.1780972450961724binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.870854031763Retained binary64: -0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 7 | 7 | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.175367804451Retained binary64: -0.17536780445093758binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.37444678595Retained binary64: 1.3744467859455345binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.01066956018Retained binary64: -1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 8 | 8 | 1.1480502971Retained binary64: 1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.228361402466Retained binary64: -0.22836140246613978binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.57079632679Retained binary64: 1.5707963267948966binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.1480502971Retained binary64: -1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 9 | 9 | 1.28266528029Retained binary64: 1.2826652802908463binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.28803212063Retained binary64: -0.28803212062967binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.76714586764Retained binary64: 1.7671458676442586binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908463binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.28266528029Retained binary64: -1.2826652802908463binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 10 | 10 | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.354236206955Retained binary64: -0.35423620695493485binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96349540849Retained binary64: 1.9634954084936207binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.41419021048Retained binary64: -1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 11 | 11 | 1.54230823258Retained binary64: 1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.426814169999Retained binary64: -0.42681416999918365binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.15984494934Retained binary64: 2.1598449493429825binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.54230823258Retained binary64: -1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 12 | 12 | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.505591163092Retained binary64: -0.5055911630923643binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.35619449019Retained binary64: 2.356194490192345binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 13 | 13 | 1.78709791348Retained binary64: 1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.590377405558Retained binary64: -0.5903774055580652binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.55254403104Retained binary64: 2.552544031041707binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.78709791348Retained binary64: -1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 14 | 14 | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.680968639912Retained binary64: -0.680968639911789binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.74889357189Retained binary64: 2.748893571891069binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.90317985249Retained binary64: -1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 15 | 15 | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.777146623935Retained binary64: -0.7771466239351223binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94524311274Retained binary64: 2.945243112740431binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648777binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.01467686454Retained binary64: -2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.2228533760648777binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 16 | 16 | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.87867965644Retained binary64: -0.8786796564403573binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.14159265359Retained binary64: 3.141592653589793binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 17 | 17 | 2.22285337606Retained binary64: 2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.985323135459Retained binary64: -0.985323135458945binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.33794219444Retained binary64: 3.3379421944391554binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 18 | 18 | 2.31903136009Retained binary64: 2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.09682014751Retained binary64: -1.0968201475090635binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.53429173529Retained binary64: 3.5342917352885173binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.31903136009Retained binary64: -2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 19 | 19 | 2.40962259444Retained binary64: 2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.21290208652Retained binary64: -1.2129020865226996binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.73064127614Retained binary64: 3.730641276137879binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.40962259444Retained binary64: -2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 20 | 20 | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.33328930094Retained binary64: -1.333289300941193binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.92699081699Retained binary64: 3.9269908169872414binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.666710699058807binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.666710699058807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 21 | 21 | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.45769176742Retained binary64: -1.457691767420335binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.12334035784Retained binary64: 4.123340357836604binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 22 | 22 | 2.64576379305Retained binary64: 2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.58580978952Retained binary64: -1.5858097895220067binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.31968989869Retained binary64: 4.319689898685965binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 23 | 23 | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71733471971Retained binary64: -1.7173347197091533binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.51603943954Retained binary64: 4.516039439535327binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908467binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908467binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 24 | 24 | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.8519497029Retained binary64: -1.8519497029047305binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.71238898038Retained binary64: 4.71238898038469binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.1480502970952695binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.1480502970952695binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 25 | 25 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.98933043982Retained binary64: -1.98933043982334binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.90873852123Retained binary64: 4.908738521234052binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 26 | 26 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12914596824Retained binary64: -2.129145968236613binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.10508806208Retained binary64: 5.105088062083414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 27 | 27 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.27105946029Retained binary64: -2.271059460290208binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.30143760293Retained binary64: 5.301437602932776binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097919binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097919binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 28 | 28 | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.41472903395Retained binary64: -2.414729033951615binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.49778714378Retained binary64: 5.497787143782138binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 29 | 29 | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.55980857663Retained binary64: -2.559808576633915binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.69413668463Retained binary64: 5.6941366846315binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 30 | 30 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.70594857901Retained binary64: -2.705948579011318binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.89048622548Retained binary64: 5.890486225480862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.2940514209886823binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.2940514209886823binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 31 | 31 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.85279697702Retained binary64: -2.8527969770177455binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.08683576633Retained binary64: 6.086835766330224binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225438binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225438binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 32 | 32 | 3Exact fraction: 3Retained binary64: 3.0 | -3Exact fraction: -3Retained binary64: -3.0 | 6.28318530718Retained binary64: 6.283185307179586binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 4Exact fraction: 4Retained binary64: 4.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 33 | 33 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.14720302298Retained binary64: -3.1472030229822545binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.47953484803Retained binary64: 6.4795348480289485binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225402binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225402binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 34 | 34 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.29405142099Retained binary64: -3.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.67588438888Retained binary64: 6.675884388878311binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.2940514209886819binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.2940514209886819binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 35 | 35 | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.44019142337Retained binary64: -3.440191423366085binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.87223392973Retained binary64: 6.872233929727672binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660849binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.4401914233660849binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 36 | 36 | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.58527096605Retained binary64: -3.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.06858347058Retained binary64: 7.0685834705770345binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.5852709660483846binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.5852709660483846binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 37 | 37 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.72894053971Retained binary64: -3.7289405397097912binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.26493301143Retained binary64: 7.264933011426397binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 38 | 38 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.87085403176Retained binary64: -3.870854031763386binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.46128255228Retained binary64: 7.461282552275758binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633865binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633865binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 39 | 39 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.01066956018Retained binary64: -4.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.65763209313Retained binary64: 7.6576320931251205binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 40 | 40 | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.1480502971Retained binary64: -4.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.85398163397Retained binary64: 7.853981633974483binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 41 | 41 | 2.71196787937Retained binary64: 2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.28266528029Retained binary64: -4.282665280290845binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.05033117482Retained binary64: 8.050331174823844binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908456binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.71196787937Retained binary64: -2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908456binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 42 | 42 | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.41419021048Retained binary64: -4.414190210477993binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.24668071567Retained binary64: 8.246680715673207binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.414190210477993binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.414190210477993binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 43 | 43 | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.54230823258Retained binary64: -4.542308232579664binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.44303025652Retained binary64: 8.443030256522569binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 44 | 44 | 2.49440883691Retained binary64: 2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.66671069906Retained binary64: -4.666710699058806binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.63937979737Retained binary64: 8.63937979737193binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.49440883691Retained binary64: -2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 45 | 45 | 2.40962259444Retained binary64: 2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.78709791348Retained binary64: -4.7870979134773binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.83572933822Retained binary64: 8.835729338221293binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.40962259444Retained binary64: -2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 46 | 46 | 2.31903136009Retained binary64: 2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.90317985249Retained binary64: -4.903179852490936binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.03207887907Retained binary64: 9.032078879070655binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909362binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.31903136009Retained binary64: -2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909362binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 47 | 47 | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.01467686454Retained binary64: -5.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.22842841992Retained binary64: 9.228428419920018binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 48 | 48 | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.12132034356Retained binary64: -5.121320343559642binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.42477796077Retained binary64: 9.42477796076938binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 49 | 49 | 2.01467686454Retained binary64: 2.0146768645410558binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.22285337606Retained binary64: -5.222853376064876binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.62112750162Retained binary64: 9.62112750161874binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.0146768645410558binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.01467686454Retained binary64: -2.0146768645410558binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 50 | 50 | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.31903136009Retained binary64: -5.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.81747704247Retained binary64: 9.817477042468104binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.90317985249Retained binary64: -1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 51 | 51 | 1.78709791348Retained binary64: 1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.40962259444Retained binary64: -5.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.0138265833Retained binary64: 10.013826583317465binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.78709791348Retained binary64: -1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 52 | 52 | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.49440883691Retained binary64: -5.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.2101761242Retained binary64: 10.210176124166829binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 53 | 53 | 1.54230823258Retained binary64: 1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.57318583Retained binary64: -5.573185830000815binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.406525665Retained binary64: 10.40652566501619binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.54230823258Retained binary64: -1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 54 | 54 | 1.41419021048Retained binary64: 1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.64576379305Retained binary64: -5.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.6028752059Retained binary64: 10.602875205865551binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.41419021048Retained binary64: -1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 55 | 55 | 1.28266528029Retained binary64: 1.282665280290846binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.71196787937Retained binary64: -5.711967879370331binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.7992247467Retained binary64: 10.799224746714915binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.282665280290846binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.28266528029Retained binary64: -1.282665280290846binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 56 | 56 | 1.1480502971Retained binary64: 1.1480502970952697binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.77163859753Retained binary64: -5.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.9955742876Retained binary64: 10.995574287564276binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.1480502970952697binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.1480502971Retained binary64: -1.1480502970952697binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 57 | 57 | 1.01066956018Retained binary64: 1.010669560176661binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.82463219555Retained binary64: -5.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.1919238284Retained binary64: 11.191923828413637binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.824632195549062binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.010669560176661binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.01066956018Retained binary64: -1.010669560176661binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.824632195549062binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 58 | 58 | 0.870854031763Retained binary64: 0.8708540317633872binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.8708210072Retained binary64: -5.870821007196627binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.3882733693Retained binary64: 11.388273369263binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633872binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.870854031763Retained binary64: -0.8708540317633872binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 59 | 59 | 0.72894053971Retained binary64: 0.7289405397097922binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.91009375958Retained binary64: -5.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.5846229101Retained binary64: 11.584622910112362binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097922binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.72894053971Retained binary64: -0.7289405397097922binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 60 | 60 | 0.585270966048Retained binary64: 0.5852709660483858binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.94235584121Retained binary64: -5.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.780972451Retained binary64: 11.780972450961723binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.5852709660483858binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.585270966048Retained binary64: -0.5852709660483858binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 61 | 61 | 0.440191423366Retained binary64: 0.4401914233660854binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.96752952989Retained binary64: -5.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.9773219918Retained binary64: 11.977321991811086binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660854binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.440191423366Retained binary64: -0.4401914233660854binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 62 | 62 | 0.294051420989Retained binary64: 0.2940514209886825binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.98555418002Retained binary64: -5.985554180016591binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.1736715327Retained binary64: 12.173671532660448binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.2940514209886825binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.294051420989Retained binary64: -0.2940514209886825binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 63 | 63 | 0.147203022982Retained binary64: 0.1472030229822539binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.99638636862Retained binary64: -5.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.3700210735Retained binary64: 12.370021073509811binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.1472030229822539binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.147203022982Retained binary64: -0.1472030229822539binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 64 | 64 | 0Exact fraction: 0Retained binary64: 0.0 | -6Exact fraction: -6Retained binary64: -6.0 | 12.5663706144Retained binary64: 12.566370614359172binary64; 12 significant-digit display; only exact zero sign canonicalized | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 65 | 65 | -0.147203022982Retained binary64: -0.14720302298225318binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.99638636862Retained binary64: -5.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.7627201552Retained binary64: 12.762720155208534binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225318binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.147203022982Retained binary64: 0.14720302298225318binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 66 | 66 | -0.294051420989Retained binary64: -0.29405142098868176binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.98555418002Retained binary64: -5.985554180016591binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.9590696961Retained binary64: 12.959069696057897binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.29405142098868176binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.294051420989Retained binary64: 0.29405142098868176binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 67 | 67 | -0.440191423366Retained binary64: -0.44019142336608474binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.96752952989Retained binary64: -5.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.1554192369Retained binary64: 13.155419236907258binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608474binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.440191423366Retained binary64: 0.44019142336608474binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 68 | 68 | -0.585270966048Retained binary64: -0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.94235584121Retained binary64: -5.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.3517687778Retained binary64: 13.351768777756622binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.585270966048Retained binary64: 0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 69 | 69 | -0.72894053971Retained binary64: -0.7289405397097914binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.91009375958Retained binary64: -5.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.5481183186Retained binary64: 13.548118318605983binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097914binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.72894053971Retained binary64: 0.7289405397097914binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 70 | 70 | -0.870854031763Retained binary64: -0.8708540317633864binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.8708210072Retained binary64: -5.870821007196627binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.7444678595Retained binary64: 13.744467859455344binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633864binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.870854031763Retained binary64: 0.8708540317633864binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 71 | 71 | -1.01066956018Retained binary64: -1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.82463219555Retained binary64: -5.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.9408174003Retained binary64: 13.940817400304708binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 72 | 72 | -1.1480502971Retained binary64: -1.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.77163859753Retained binary64: -5.771638597533861binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.1371669412Retained binary64: 14.137166941154069binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.7716385975338604binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.1480502971Retained binary64: 1.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.7716385975338604binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 73 | 73 | -1.28266528029Retained binary64: -1.2826652802908454binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.71196787937Retained binary64: -5.711967879370331binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.333516482Retained binary64: 14.33351648200343binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908454binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.28266528029Retained binary64: 1.2826652802908454binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 74 | 74 | -1.41419021048Retained binary64: -1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.64576379305Retained binary64: -5.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.5298660229Retained binary64: 14.529866022852794binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 75 | 75 | -1.54230823258Retained binary64: -1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.57318583Retained binary64: -5.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.7262155637Retained binary64: 14.726215563702155binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.54230823258Retained binary64: 1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 76 | 76 | -1.66671069906Retained binary64: -1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.49440883691Retained binary64: -5.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.9225651046Retained binary64: 14.922565104551516binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.66671069906Retained binary64: 1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 77 | 77 | -1.78709791348Retained binary64: -1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.40962259444Retained binary64: -5.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.1189146454Retained binary64: 15.11891464540088binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.78709791348Retained binary64: 1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 78 | 78 | -1.90317985249Retained binary64: -1.9031798524909358binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.31903136009Retained binary64: -5.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.3152641863Retained binary64: 15.315264186250241binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909358binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.90317985249Retained binary64: 1.9031798524909358binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 79 | 79 | -2.01467686454Retained binary64: -2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.22285337606Retained binary64: -5.222853376064878binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.5116137271Retained binary64: 15.511613727099604binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.01467686454Retained binary64: 2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 80 | 80 | -2.12132034356Retained binary64: -2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.12132034356Retained binary64: -5.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.7079632679Retained binary64: 15.707963267948966binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.12132034356Retained binary64: 2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 81 | 81 | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.01467686454Retained binary64: -5.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.9043128088Retained binary64: 15.904312808798327binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 82 | 82 | -2.31903136009Retained binary64: -2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.90317985249Retained binary64: -4.903179852490938binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.1006623496Retained binary64: 16.10066234964769binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.31903136009Retained binary64: 2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 83 | 83 | -2.40962259444Retained binary64: -2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.78709791348Retained binary64: -4.7870979134773binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.2970118905Retained binary64: 16.297011890497053binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134772993binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.40962259444Retained binary64: 2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134772993binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 84 | 84 | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.66671069906Retained binary64: -4.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.4933614313Retained binary64: 16.493361431346415binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 85 | 85 | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.54230823258Retained binary64: -4.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.6897109722Retained binary64: 16.689710972195776binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 86 | 86 | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.41419021048Retained binary64: -4.414190210477994binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.886060513Retained binary64: 16.886060513045138binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779935binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.64576379305Retained binary64: 2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779935binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 87 | 87 | -2.71196787937Retained binary64: -2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.28266528029Retained binary64: -4.282665280290848binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.0824100539Retained binary64: 17.0824100538945binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908474binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.71196787937Retained binary64: 2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 88 | 88 | -2.77163859753Retained binary64: -2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.1480502971Retained binary64: -4.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.2787595947Retained binary64: 17.27875959474386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.77163859753Retained binary64: 2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 89 | 89 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.01066956018Retained binary64: -4.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.4751091356Retained binary64: 17.475109135593225binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 90 | 90 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.87085403176Retained binary64: -3.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.6714586764Retained binary64: 17.671458676442587binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633873binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633873binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 91 | 91 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.72894053971Retained binary64: -3.728940539709792binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.8678082173Retained binary64: 17.867808217291948binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097923binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097923binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 92 | 92 | -2.94235584121Retained binary64: -2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.58527096605Retained binary64: -3.5852709660483857binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.0641577581Retained binary64: 18.06415775814131binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.585270966048386binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.94235584121Retained binary64: 2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.585270966048386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 93 | 93 | -2.96752952989Retained binary64: -2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.44019142337Retained binary64: -3.440191423366087binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.260507299Retained binary64: 18.26050729899067binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660869binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.4401914233660869binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 94 | 94 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.29405142099Retained binary64: -3.2940514209886813binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.4568568398Retained binary64: 18.456856839840036binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.29405142098868137binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.29405142098868137binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 95 | 95 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.14720302298Retained binary64: -3.1472030229822545binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.6532063807Retained binary64: 18.653206380689397binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225407binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225407binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 96 | 96 | -3Exact fraction: -3Retained binary64: -3.0 | -3Exact fraction: -3Retained binary64: -3.0 | 18.8495559215Retained binary64: 18.84955592153876binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 4Exact fraction: 4Retained binary64: 4.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 97 | 97 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.85279697702Retained binary64: -2.8527969770177473binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.0459054624Retained binary64: 19.04590546238812binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.147203022982253binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.147203022982253binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 98 | 98 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.70594857901Retained binary64: -2.7059485790113196binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.2422550032Retained binary64: 19.24225500323748binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.29405142098868026binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.29405142098868026binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 99 | 99 | -2.96752952989Retained binary64: -2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.55980857663Retained binary64: -2.5598085766339143binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.4386045441Retained binary64: 19.438604544086846binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608585binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.44019142336608585binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 100 | 100 | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.41472903395Retained binary64: -2.414729033951615binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.6349540849Retained binary64: 19.634954084936208binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.5852709660483849binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.5852709660483849binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 101 | 101 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.27105946029Retained binary64: -2.2710594602902088binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.8313036258Retained binary64: 19.83130362578557binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097912binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 102 | 102 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12914596824Retained binary64: -2.129145968236614binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.0276531666Retained binary64: 20.02765316663493binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633862binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 103 | 103 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.98933043982Retained binary64: -1.9893304398233413binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.2240027075Retained binary64: 20.224002707484292binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766589binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766589binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 104 | 104 | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.8519497029Retained binary64: -1.8519497029047298binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.4203522483Retained binary64: 20.420352248333657binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.14805029709527binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.14805029709527binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 105 | 105 | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71733471971Retained binary64: -1.7173347197091537binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.6167017892Retained binary64: 20.61670178918302binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908465binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908465binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 106 | 106 | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.58580978952Retained binary64: -1.5858097895220071binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.81305133Retained binary64: 20.81305133003238binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 107 | 107 | -2.57318583Retained binary64: -2.5731858300008166binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.45769176742Retained binary64: -1.4576917674203353binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.0094008709Retained binary64: 21.00940087088174binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.5731858300008166binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.57318583Retained binary64: 2.5731858300008166binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 108 | 108 | -2.49440883691Retained binary64: -2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.33328930094Retained binary64: -1.3332893009411944binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.2057504117Retained binary64: 21.205750411731103binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588056binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.49440883691Retained binary64: 2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588056binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 109 | 109 | -2.40962259444Retained binary64: -2.409622594441936binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.21290208652Retained binary64: -1.2129020865227016binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.4020999526Retained binary64: 21.402099952580464binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134772984binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.409622594441936binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.40962259444Retained binary64: 2.409622594441936binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134772984binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 110 | 110 | -2.31903136009Retained binary64: -2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.09682014751Retained binary64: -1.0968201475090633binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.5984494934Retained binary64: 21.59844949342983binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909367binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.31903136009Retained binary64: 2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 111 | 111 | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.985323135459Retained binary64: -0.985323135458945binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.7947990343Retained binary64: 21.79479903427919binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.22285337606Retained binary64: 2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 112 | 112 | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.87867965644Retained binary64: -0.878679656440358binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.9911485751Retained binary64: 21.991148575128552binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559642binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559642binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 113 | 113 | -2.01467686454Retained binary64: -2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.777146623935Retained binary64: -0.7771466239351233binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.187498116Retained binary64: 22.187498115977913binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.01467686454Retained binary64: 2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 114 | 114 | -1.90317985249Retained binary64: -1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.680968639912Retained binary64: -0.6809686399117904binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.3838476568Retained binary64: 22.383847656827275binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.90317985249Retained binary64: 1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 115 | 115 | -1.78709791348Retained binary64: -1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.590377405558Retained binary64: -0.5903774055580648binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.5801971977Retained binary64: 22.58019719767664binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.78709791348Retained binary64: 1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 116 | 116 | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.505591163092Retained binary64: -0.5055911630923643binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.7765467385Retained binary64: 22.776546738526binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 117 | 117 | -1.54230823258Retained binary64: -1.5423082325796655binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.426814169999Retained binary64: -0.426814169999184binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.9728962794Retained binary64: 22.972896279375362binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796655binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.54230823258Retained binary64: 1.5423082325796655binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 118 | 118 | -1.41419021048Retained binary64: -1.4141902104779938binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.354236206955Retained binary64: -0.3542362069549355binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.1692458202Retained binary64: 23.169245820224724binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450644binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779938binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.41419021048Retained binary64: 1.4141902104779938binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.6457637930450644binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 119 | 119 | -1.28266528029Retained binary64: -1.2826652802908476binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.28803212063Retained binary64: -0.28803212062967065binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.3655953611Retained binary64: 23.365595361074085binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908476binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.28266528029Retained binary64: 1.2826652802908476binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 120 | 120 | -1.1480502971Retained binary64: -1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.228361402466Retained binary64: -0.22836140246614045binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.5619449019Retained binary64: 23.561944901923447binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.1480502971Retained binary64: 1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 121 | 121 | -1.01066956018Retained binary64: -1.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.175367804451Retained binary64: -0.17536780445093758binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.7582944428Retained binary64: 23.75829444277281binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.01066956018Retained binary64: 1.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 122 | 122 | -0.870854031763Retained binary64: -0.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.129178992803Retained binary64: -0.12917899280337353binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.9546439836Retained binary64: 23.954643983622173binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.870854031763Retained binary64: 0.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 123 | 123 | -0.72894053971Retained binary64: -0.7289405397097926binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0899062404164Retained binary64: -0.08990624041636808binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.1509935245Retained binary64: 24.150993524471534binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097926binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.72894053971Retained binary64: 0.7289405397097926binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 124 | 124 | -0.585270966048Retained binary64: -0.5852709660483861binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0576441587903Retained binary64: -0.05764415879030904binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.3473430653Retained binary64: 24.347343065320896binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.5852709660483861binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.585270966048Retained binary64: 0.5852709660483861binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 125 | 125 | -0.440191423366Retained binary64: -0.4401914233660872binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0324704701057Retained binary64: -0.03247047010565729binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.5436926062Retained binary64: 24.543692606170257binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.4401914233660872binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.440191423366Retained binary64: 0.4401914233660872binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 126 | 126 | -0.294051420989Retained binary64: -0.29405142098868153binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0144458199834Retained binary64: -0.014445819983409214binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.740042147Retained binary64: 24.740042147019622binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.29405142098868153binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.294051420989Retained binary64: 0.29405142098868153binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 127 | 127 | -0.147203022982Retained binary64: -0.14720302298225427binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00361363138448Retained binary64: -0.003613631384482785binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.9363916879Retained binary64: 24.936391687868984binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225427binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.147203022982Retained binary64: 0.14720302298225427binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 128 | 128 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25.1327412287Retained binary64: 25.132741228718345binary64; 12 significant-digit display; only exact zero sign canonicalized | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
All 129 −q₀ helix records (129 rows)
Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
| Row | Common angle-audit index | r/L₀, x component | r/L₀, y component | r/L₀, z component | v/v₀, x component | v/v₀, y component | v/v₀, z component | a/(v₀/t₀), x component | a/(v₀/t₀), y component | a/(v₀/t₀), z component | Speed²/v₀² | K/K₀ | Magnetic point-charge power (zero) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Retained binary64: 0.0binary64; 12 significant-digit display; only exact zero sign canonicalized | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 1 | 0.147203022982Retained binary64: 0.14720302298225404binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00361363138448Retained binary64: 0.003613631384482785binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196349540849Retained binary64: 0.19634954084936207binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225404binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.147203022982Retained binary64: -0.14720302298225404binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 2 | 2 | 0.294051420989Retained binary64: 0.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0144458199834Retained binary64: 0.014445819983409214binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.392699081699Retained binary64: 0.39269908169872414binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.294051420989Retained binary64: -0.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 3 | 3 | 0.440191423366Retained binary64: 0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0324704701057Retained binary64: 0.03247047010565696binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.589048622548Retained binary64: 0.5890486225480862binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.440191423366Retained binary64: -0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 4 | 4 | 0.585270966048Retained binary64: 0.5852709660483848binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0576441587903Retained binary64: 0.05764415879030871binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.785398163397Retained binary64: 0.7853981633974483binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.5852709660483848binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.585270966048Retained binary64: -0.5852709660483848binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 5 | 5 | 0.72894053971Retained binary64: 0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0899062404164Retained binary64: 0.08990624041636808binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.981747704247Retained binary64: 0.9817477042468103binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.72894053971Retained binary64: -0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 6 | 6 | 0.870854031763Retained binary64: 0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.129178992803Retained binary64: 0.12917899280337353binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1780972451Retained binary64: 1.1780972450961724binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.870854031763Retained binary64: -0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 7 | 7 | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.175367804451Retained binary64: 0.17536780445093758binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.37444678595Retained binary64: 1.3744467859455345binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.01066956018Retained binary64: -1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 8 | 8 | 1.1480502971Retained binary64: 1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.228361402466Retained binary64: 0.22836140246613978binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.57079632679Retained binary64: 1.5707963267948966binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.1480502971Retained binary64: -1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 9 | 9 | 1.28266528029Retained binary64: 1.2826652802908463binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.28803212063Retained binary64: 0.28803212062967binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.76714586764Retained binary64: 1.7671458676442586binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908463binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.28266528029Retained binary64: -1.2826652802908463binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 10 | 10 | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.354236206955Retained binary64: 0.35423620695493485binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96349540849Retained binary64: 1.9634954084936207binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.41419021048Retained binary64: -1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 11 | 11 | 1.54230823258Retained binary64: 1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.426814169999Retained binary64: 0.42681416999918365binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.15984494934Retained binary64: 2.1598449493429825binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.54230823258Retained binary64: -1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 12 | 12 | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.505591163092Retained binary64: 0.5055911630923643binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.35619449019Retained binary64: 2.356194490192345binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 13 | 13 | 1.78709791348Retained binary64: 1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.590377405558Retained binary64: 0.5903774055580652binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.55254403104Retained binary64: 2.552544031041707binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.78709791348Retained binary64: -1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 14 | 14 | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.680968639912Retained binary64: 0.680968639911789binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.74889357189Retained binary64: 2.748893571891069binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.90317985249Retained binary64: -1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 15 | 15 | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.777146623935Retained binary64: 0.7771466239351223binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94524311274Retained binary64: 2.945243112740431binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648777binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.01467686454Retained binary64: -2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648777binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 16 | 16 | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.87867965644Retained binary64: 0.8786796564403573binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.14159265359Retained binary64: 3.141592653589793binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 17 | 17 | 2.22285337606Retained binary64: 2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.985323135459Retained binary64: 0.985323135458945binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.33794219444Retained binary64: 3.3379421944391554binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 18 | 18 | 2.31903136009Retained binary64: 2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.09682014751Retained binary64: 1.0968201475090635binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.53429173529Retained binary64: 3.5342917352885173binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.31903136009Retained binary64: -2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 19 | 19 | 2.40962259444Retained binary64: 2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.21290208652Retained binary64: 1.2129020865226996binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.73064127614Retained binary64: 3.730641276137879binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.40962259444Retained binary64: -2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 20 | 20 | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.33328930094Retained binary64: 1.333289300941193binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.92699081699Retained binary64: 3.9269908169872414binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.666710699058807binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.666710699058807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 21 | 21 | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.45769176742Retained binary64: 1.457691767420335binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.12334035784Retained binary64: 4.123340357836604binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 22 | 22 | 2.64576379305Retained binary64: 2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.58580978952Retained binary64: 1.5858097895220067binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.31968989869Retained binary64: 4.319689898685965binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 23 | 23 | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71733471971Retained binary64: 1.7173347197091533binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.51603943954Retained binary64: 4.516039439535327binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908467binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908467binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 24 | 24 | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.8519497029Retained binary64: 1.8519497029047305binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.71238898038Retained binary64: 4.71238898038469binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.1480502970952695binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.1480502970952695binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 25 | 25 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.98933043982Retained binary64: 1.98933043982334binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.90873852123Retained binary64: 4.908738521234052binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 26 | 26 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12914596824Retained binary64: 2.129145968236613binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.10508806208Retained binary64: 5.105088062083414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.870854031763387binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 27 | 27 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.27105946029Retained binary64: 2.271059460290208binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.30143760293Retained binary64: 5.301437602932776binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097919binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097919binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 28 | 28 | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.41472903395Retained binary64: 2.414729033951615binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.49778714378Retained binary64: 5.497787143782138binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 29 | 29 | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.55980857663Retained binary64: 2.559808576633915binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.69413668463Retained binary64: 5.6941366846315binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608524binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 30 | 30 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.70594857901Retained binary64: 2.705948579011318binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.89048622548Retained binary64: 5.890486225480862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.2940514209886823binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.2940514209886823binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 31 | 31 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.85279697702Retained binary64: 2.8527969770177455binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.08683576633Retained binary64: 6.086835766330224binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225438binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.14720302298225438binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 32 | 32 | 3Exact fraction: 3Retained binary64: 3.0 | 3Exact fraction: 3Retained binary64: 3.0 | 6.28318530718Retained binary64: 6.283185307179586binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 4Exact fraction: 4Retained binary64: 4.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 33 | 33 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.14720302298Retained binary64: 3.1472030229822545binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.47953484803Retained binary64: 6.4795348480289485binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225402binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225402binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 34 | 34 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.29405142099Retained binary64: 3.2940514209886818binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.67588438888Retained binary64: 6.675884388878311binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.2940514209886819binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.2940514209886819binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 35 | 35 | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.44019142337Retained binary64: 3.440191423366085binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.87223392973Retained binary64: 6.872233929727672binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660849binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660849binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 36 | 36 | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.58527096605Retained binary64: 3.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.06858347058Retained binary64: 7.0685834705770345binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.5852709660483846binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.5852709660483846binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 37 | 37 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.72894053971Retained binary64: 3.7289405397097912binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.26493301143Retained binary64: 7.264933011426397binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097917binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 38 | 38 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.87085403176Retained binary64: 3.870854031763386binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.46128255228Retained binary64: 7.461282552275758binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633865binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633865binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 39 | 39 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.01066956018Retained binary64: 4.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.65763209313Retained binary64: 7.6576320931251205binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 40 | 40 | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.1480502971Retained binary64: 4.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.85398163397Retained binary64: 7.853981633974483binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.1480502970952693binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 41 | 41 | 2.71196787937Retained binary64: 2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.28266528029Retained binary64: 4.282665280290845binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.05033117482Retained binary64: 8.050331174823844binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908456binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.71196787937Retained binary64: -2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908456binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 42 | 42 | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.41419021048Retained binary64: 4.414190210477993binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.24668071567Retained binary64: 8.246680715673207binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.414190210477993binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.414190210477993binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 43 | 43 | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.54230823258Retained binary64: 4.542308232579664binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.44303025652Retained binary64: 8.443030256522569binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 44 | 44 | 2.49440883691Retained binary64: 2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.66671069906Retained binary64: 4.666710699058806binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.63937979737Retained binary64: 8.63937979737193binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.49440883691Retained binary64: -2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 45 | 45 | 2.40962259444Retained binary64: 2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.78709791348Retained binary64: 4.7870979134773binary64; 12 significant-digit display; only exact zero sign canonicalized | 8.83572933822Retained binary64: 8.835729338221293binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.40962259444Retained binary64: -2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134773002binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 46 | 46 | 2.31903136009Retained binary64: 2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.90317985249Retained binary64: 4.903179852490936binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.03207887907Retained binary64: 9.032078879070655binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909362binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.31903136009Retained binary64: -2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909362binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 47 | 47 | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.01467686454Retained binary64: 5.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.22842841992Retained binary64: 9.228428419920018binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 48 | 48 | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.12132034356Retained binary64: 5.121320343559642binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.42477796077Retained binary64: 9.42477796076938binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 49 | 49 | 2.01467686454Retained binary64: 2.0146768645410558binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.22285337606Retained binary64: 5.222853376064876binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.62112750162Retained binary64: 9.62112750161874binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.0146768645410558binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -2.01467686454Retained binary64: -2.0146768645410558binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 50 | 50 | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.31903136009Retained binary64: 5.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 9.81747704247Retained binary64: 9.817477042468104binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.90317985249Retained binary64: -1.9031798524909365binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.319031360088211binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 51 | 51 | 1.78709791348Retained binary64: 1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.40962259444Retained binary64: 5.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.0138265833Retained binary64: 10.013826583317465binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.78709791348Retained binary64: -1.7870979134773004binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 52 | 52 | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.49440883691Retained binary64: 5.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.2101761242Retained binary64: 10.210176124166829binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.494408836907636binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 53 | 53 | 1.54230823258Retained binary64: 1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.57318583Retained binary64: 5.573185830000815binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.406525665Retained binary64: 10.40652566501619binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.54230823258Retained binary64: -1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 54 | 54 | 1.41419021048Retained binary64: 1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.64576379305Retained binary64: 5.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.6028752059Retained binary64: 10.602875205865551binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.41419021048Retained binary64: -1.4141902104779933binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 55 | 55 | 1.28266528029Retained binary64: 1.282665280290846binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.71196787937Retained binary64: 5.711967879370331binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.7992247467Retained binary64: 10.799224746714915binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.282665280290846binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.28266528029Retained binary64: -1.282665280290846binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 56 | 56 | 1.1480502971Retained binary64: 1.1480502970952697binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.77163859753Retained binary64: 5.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 10.9955742876Retained binary64: 10.995574287564276binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.1480502970952697binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.1480502971Retained binary64: -1.1480502970952697binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 57 | 57 | 1.01066956018Retained binary64: 1.010669560176661binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.82463219555Retained binary64: 5.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.1919238284Retained binary64: 11.191923828413637binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.824632195549062binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.010669560176661binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -1.01066956018Retained binary64: -1.010669560176661binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.824632195549062binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 58 | 58 | 0.870854031763Retained binary64: 0.8708540317633872binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.8708210072Retained binary64: 5.870821007196627binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.3882733693Retained binary64: 11.388273369263binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633872binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.870854031763Retained binary64: -0.8708540317633872binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 59 | 59 | 0.72894053971Retained binary64: 0.7289405397097922binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.91009375958Retained binary64: 5.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.5846229101Retained binary64: 11.584622910112362binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097922binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.72894053971Retained binary64: -0.7289405397097922binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 60 | 60 | 0.585270966048Retained binary64: 0.5852709660483858binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.94235584121Retained binary64: 5.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.780972451Retained binary64: 11.780972450961723binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.5852709660483858binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.585270966048Retained binary64: -0.5852709660483858binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 61 | 61 | 0.440191423366Retained binary64: 0.4401914233660854binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.96752952989Retained binary64: 5.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 11.9773219918Retained binary64: 11.977321991811086binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.4401914233660854binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.440191423366Retained binary64: -0.4401914233660854binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 62 | 62 | 0.294051420989Retained binary64: 0.2940514209886825binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.98555418002Retained binary64: 5.985554180016591binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.1736715327Retained binary64: 12.173671532660448binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.2940514209886825binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.294051420989Retained binary64: -0.2940514209886825binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 63 | 63 | 0.147203022982Retained binary64: 0.1472030229822539binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.99638636862Retained binary64: 5.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.3700210735Retained binary64: 12.370021073509811binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.1472030229822539binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | -0.147203022982Retained binary64: -0.1472030229822539binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 64 | 64 | 0Exact fraction: 0Retained binary64: 0.0 | 6Exact fraction: 6Retained binary64: 6.0 | 12.5663706144Retained binary64: 12.566370614359172binary64; 12 significant-digit display; only exact zero sign canonicalized | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 65 | 65 | -0.147203022982Retained binary64: -0.14720302298225318binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.99638636862Retained binary64: 5.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.7627201552Retained binary64: 12.762720155208534binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225318binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.147203022982Retained binary64: 0.14720302298225318binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 66 | 66 | -0.294051420989Retained binary64: -0.29405142098868176binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.98555418002Retained binary64: 5.985554180016591binary64; 12 significant-digit display; only exact zero sign canonicalized | 12.9590696961Retained binary64: 12.959069696057897binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.29405142098868176binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.294051420989Retained binary64: 0.29405142098868176binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 67 | 67 | -0.440191423366Retained binary64: -0.44019142336608474binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.96752952989Retained binary64: 5.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.1554192369Retained binary64: 13.155419236907258binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.44019142336608474binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.440191423366Retained binary64: 0.44019142336608474binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.967529529894343binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 68 | 68 | -0.585270966048Retained binary64: -0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.94235584121Retained binary64: 5.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.3517687778Retained binary64: 13.351768777756622binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.585270966048Retained binary64: 0.585270966048385binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 69 | 69 | -0.72894053971Retained binary64: -0.7289405397097914binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.91009375958Retained binary64: 5.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.5481183186Retained binary64: 13.548118318605983binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097914binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.72894053971Retained binary64: 0.7289405397097914binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 70 | 70 | -0.870854031763Retained binary64: -0.8708540317633864binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.8708210072Retained binary64: 5.870821007196627binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.7444678595Retained binary64: 13.744467859455344binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633864binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.870854031763Retained binary64: 0.8708540317633864binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 71 | 71 | -1.01066956018Retained binary64: -1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.82463219555Retained binary64: 5.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 13.9408174003Retained binary64: 13.940817400304708binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.01066956018Retained binary64: 1.0106695601766602binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 72 | 72 | -1.1480502971Retained binary64: -1.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.77163859753Retained binary64: 5.771638597533861binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.1371669412Retained binary64: 14.137166941154069binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.7716385975338604binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.1480502971Retained binary64: 1.148050297095269binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.7716385975338604binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 73 | 73 | -1.28266528029Retained binary64: -1.2826652802908454binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.71196787937Retained binary64: 5.711967879370331binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.333516482Retained binary64: 14.33351648200343binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908454binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.28266528029Retained binary64: 1.2826652802908454binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.7119678793703303binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 74 | 74 | -1.41419021048Retained binary64: -1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.64576379305Retained binary64: 5.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.5298660229Retained binary64: 14.529866022852794binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 75 | 75 | -1.54230823258Retained binary64: -1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.57318583Retained binary64: 5.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.7262155637Retained binary64: 14.726215563702155binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.54230823258Retained binary64: 1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 76 | 76 | -1.66671069906Retained binary64: -1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.49440883691Retained binary64: 5.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 14.9225651046Retained binary64: 14.922565104551516binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.66671069906Retained binary64: 1.6667106990588059binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 77 | 77 | -1.78709791348Retained binary64: -1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.40962259444Retained binary64: 5.4096225944419345binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.1189146454Retained binary64: 15.11891464540088binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.78709791348Retained binary64: 1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.409622594441935binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 78 | 78 | -1.90317985249Retained binary64: -1.9031798524909358binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.31903136009Retained binary64: 5.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.3152641863Retained binary64: 15.315264186250241binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909358binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.90317985249Retained binary64: 1.9031798524909358binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882115binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 79 | 79 | -2.01467686454Retained binary64: -2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.22285337606Retained binary64: 5.222853376064878binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.5116137271Retained binary64: 15.511613727099604binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.01467686454Retained binary64: 2.0146768645410553binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 80 | 80 | -2.12132034356Retained binary64: -2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.12132034356Retained binary64: 5.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.7079632679Retained binary64: 15.707963267948966binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.12132034356Retained binary64: 2.1213203435596424binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 81 | 81 | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.01467686454Retained binary64: 5.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 15.9043128088Retained binary64: 15.904312808798327binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 82 | 82 | -2.31903136009Retained binary64: -2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.90317985249Retained binary64: 4.903179852490938binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.1006623496Retained binary64: 16.10066234964769binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.31903136009Retained binary64: 2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 83 | 83 | -2.40962259444Retained binary64: -2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.78709791348Retained binary64: 4.7870979134773binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.2970118905Retained binary64: 16.297011890497053binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134772993binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.40962259444Retained binary64: 2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134772993binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 84 | 84 | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.66671069906Retained binary64: 4.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.4933614313Retained binary64: 16.493361431346415binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 85 | 85 | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.54230823258Retained binary64: 4.542308232579665binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.6897109722Retained binary64: 16.689710972195776binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796653binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 86 | 86 | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.41419021048Retained binary64: 4.414190210477994binary64; 12 significant-digit display; only exact zero sign canonicalized | 16.886060513Retained binary64: 16.886060513045138binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779935binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.64576379305Retained binary64: 2.645763793045065binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779935binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 87 | 87 | -2.71196787937Retained binary64: -2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.28266528029Retained binary64: 4.282665280290848binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.0824100539Retained binary64: 17.0824100538945binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908474binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.71196787937Retained binary64: 2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 88 | 88 | -2.77163859753Retained binary64: -2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.1480502971Retained binary64: 4.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.2787595947Retained binary64: 17.27875959474386binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.77163859753Retained binary64: 2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 89 | 89 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.01066956018Retained binary64: 4.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.4751091356Retained binary64: 17.475109135593225binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.0106695601766598binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 90 | 90 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.87085403176Retained binary64: 3.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.6714586764Retained binary64: 17.671458676442587binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633873binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633873binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 91 | 91 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.72894053971Retained binary64: 3.728940539709792binary64; 12 significant-digit display; only exact zero sign canonicalized | 17.8678082173Retained binary64: 17.867808217291948binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097923binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097923binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 92 | 92 | -2.94235584121Retained binary64: -2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.58527096605Retained binary64: 3.5852709660483857binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.0641577581Retained binary64: 18.06415775814131binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.585270966048386binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.94235584121Retained binary64: 2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.585270966048386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 93 | 93 | -2.96752952989Retained binary64: -2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.44019142337Retained binary64: 3.440191423366087binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.260507299Retained binary64: 18.26050729899067binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660869binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660869binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 94 | 94 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.29405142099Retained binary64: 3.2940514209886813binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.4568568398Retained binary64: 18.456856839840036binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.29405142098868137binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.29405142098868137binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 95 | 95 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.14720302298Retained binary64: 3.1472030229822545binary64; 12 significant-digit display; only exact zero sign canonicalized | 18.6532063807Retained binary64: 18.653206380689397binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225407binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225407binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 96 | 96 | -3Exact fraction: -3Retained binary64: -3.0 | 3Exact fraction: 3Retained binary64: 3.0 | 18.8495559215Retained binary64: 18.84955592153876binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 4Exact fraction: 4Retained binary64: 4.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 97 | 97 | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.85279697702Retained binary64: 2.8527969770177473binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.0459054624Retained binary64: 19.04590546238812binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.147203022982253binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.99638636862Retained binary64: -2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.147203022982Retained binary64: 0.147203022982253binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 98 | 98 | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.70594857901Retained binary64: 2.7059485790113196binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.2422550032Retained binary64: 19.24225500323748binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.29405142098868026binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.98555418002Retained binary64: -2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.294051420989Retained binary64: 0.29405142098868026binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 99 | 99 | -2.96752952989Retained binary64: -2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.55980857663Retained binary64: 2.5598085766339143binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.4386045441Retained binary64: 19.438604544086846binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608585binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.96752952989Retained binary64: -2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.440191423366Retained binary64: 0.44019142336608585binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 100 | 100 | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.41472903395Retained binary64: 2.414729033951615binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.6349540849Retained binary64: 19.634954084936208binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.5852709660483849binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94235584121Retained binary64: -2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.94235584121Retained binary64: 2.9423558412096913binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585270966048Retained binary64: 0.5852709660483849binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 101 | 101 | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.27105946029Retained binary64: 2.2710594602902088binary64; 12 significant-digit display; only exact zero sign canonicalized | 19.8313036258Retained binary64: 19.83130362578557binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097912binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.91009375958Retained binary64: -2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.72894053971Retained binary64: 0.7289405397097912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 102 | 102 | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12914596824Retained binary64: 2.129145968236614binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.0276531666Retained binary64: 20.02765316663493binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633862binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.8708210072Retained binary64: -2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.870854031763Retained binary64: 0.8708540317633862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 103 | 103 | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.98933043982Retained binary64: 1.9893304398233413binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.2240027075Retained binary64: 20.224002707484292binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766589binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.82463219555Retained binary64: -2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.01066956018Retained binary64: 1.0106695601766589binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 104 | 104 | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.8519497029Retained binary64: 1.8519497029047298binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.4203522483Retained binary64: 20.420352248333657binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.14805029709527binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.77163859753Retained binary64: -2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.77163859753Retained binary64: 2.77163859753386binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.1480502971Retained binary64: 1.14805029709527binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 105 | 105 | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71733471971Retained binary64: 1.7173347197091537binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.6167017892Retained binary64: 20.61670178918302binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908465binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.71196787937Retained binary64: -2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.71196787937Retained binary64: 2.71196787937033binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.28266528029Retained binary64: 1.2826652802908465binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 106 | 106 | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.58580978952Retained binary64: 1.5858097895220071binary64; 12 significant-digit display; only exact zero sign canonicalized | 20.81305133Retained binary64: 20.81305133003238binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.64576379305Retained binary64: -2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.64576379305Retained binary64: 2.6457637930450653binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41419021048Retained binary64: 1.4141902104779929binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 107 | 107 | -2.57318583Retained binary64: -2.5731858300008166binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.45769176742Retained binary64: 1.4576917674203353binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.0094008709Retained binary64: 21.00940087088174binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.57318583Retained binary64: -2.5731858300008166binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.57318583Retained binary64: 2.5731858300008166binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54230823258Retained binary64: 1.5423082325796647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 108 | 108 | -2.49440883691Retained binary64: -2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.33328930094Retained binary64: 1.3332893009411944binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.2057504117Retained binary64: 21.205750411731103binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588056binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.49440883691Retained binary64: -2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.49440883691Retained binary64: 2.4944088369076365binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66671069906Retained binary64: 1.6667106990588056binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 109 | 109 | -2.40962259444Retained binary64: -2.409622594441936binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.21290208652Retained binary64: 1.2129020865227016binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.4020999526Retained binary64: 21.402099952580464binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134772984binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.40962259444Retained binary64: -2.409622594441936binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.40962259444Retained binary64: 2.409622594441936binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.78709791348Retained binary64: 1.7870979134772984binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 110 | 110 | -2.31903136009Retained binary64: -2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.09682014751Retained binary64: 1.0968201475090633binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.5984494934Retained binary64: 21.59844949342983binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909367binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.31903136009Retained binary64: -2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.31903136009Retained binary64: 2.3190313600882106binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90317985249Retained binary64: 1.9031798524909367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 111 | 111 | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.985323135459Retained binary64: 0.985323135458945binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.7947990343Retained binary64: 21.79479903427919binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.22285337606Retained binary64: -2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.22285337606Retained binary64: 2.222853376064877binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.01467686454Retained binary64: 2.014676864541055binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 112 | 112 | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.87867965644Retained binary64: 0.878679656440358binary64; 12 significant-digit display; only exact zero sign canonicalized | 21.9911485751Retained binary64: 21.991148575128552binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559642binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.12132034356Retained binary64: -2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.12132034356Retained binary64: 2.121320343559643binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.12132034356Retained binary64: 2.121320343559642binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 113 | 113 | -2.01467686454Retained binary64: -2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.777146623935Retained binary64: 0.7771466239351233binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.187498116Retained binary64: 22.187498115977913binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.01467686454Retained binary64: -2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 2.01467686454Retained binary64: 2.014676864541056binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.22285337606Retained binary64: 2.2228533760648768binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 114 | 114 | -1.90317985249Retained binary64: -1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.680968639912Retained binary64: 0.6809686399117904binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.3838476568Retained binary64: 22.383847656827275binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90317985249Retained binary64: -1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.90317985249Retained binary64: 1.9031798524909378binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.31903136009Retained binary64: 2.3190313600882098binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 115 | 115 | -1.78709791348Retained binary64: -1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.590377405558Retained binary64: 0.5903774055580648binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.5801971977Retained binary64: 22.58019719767664binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.78709791348Retained binary64: -1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.78709791348Retained binary64: 1.7870979134772997binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.40962259444Retained binary64: 2.4096225944419354binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 116 | 116 | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.505591163092Retained binary64: 0.5055911630923643binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.7765467385Retained binary64: 22.776546738526binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66671069906Retained binary64: -1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.66671069906Retained binary64: 1.6667106990588065binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.49440883691Retained binary64: 2.4944088369076356binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 117 | 117 | -1.54230823258Retained binary64: -1.5423082325796655binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.426814169999Retained binary64: 0.426814169999184binary64; 12 significant-digit display; only exact zero sign canonicalized | 22.9728962794Retained binary64: 22.972896279375362binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54230823258Retained binary64: -1.5423082325796655binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.54230823258Retained binary64: 1.5423082325796655binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.57318583Retained binary64: 2.573185830000816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 118 | 118 | -1.41419021048Retained binary64: -1.4141902104779938binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.354236206955Retained binary64: 0.3542362069549355binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.1692458202Retained binary64: 23.169245820224724binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450644binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41419021048Retained binary64: -1.4141902104779938binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.41419021048Retained binary64: 1.4141902104779938binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.64576379305Retained binary64: 2.6457637930450644binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 119 | 119 | -1.28266528029Retained binary64: -1.2826652802908476binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.28803212063Retained binary64: 0.28803212062967065binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.3655953611Retained binary64: 23.365595361074085binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.28266528029Retained binary64: -1.2826652802908476binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.28266528029Retained binary64: 1.2826652802908476binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.71196787937Retained binary64: 2.7119678793703295binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 120 | 120 | -1.1480502971Retained binary64: -1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.228361402466Retained binary64: 0.22836140246614045binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.5619449019Retained binary64: 23.561944901923447binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.1480502971Retained binary64: -1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.1480502971Retained binary64: 1.148050297095271binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.77163859753Retained binary64: 2.7716385975338595binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 121 | 121 | -1.01066956018Retained binary64: -1.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.175367804451Retained binary64: 0.17536780445093758binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.7582944428Retained binary64: 23.75829444277281binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.01066956018Retained binary64: -1.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 1.01066956018Retained binary64: 1.01066956017666binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.82463219555Retained binary64: 2.8246321955490625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 122 | 122 | -0.870854031763Retained binary64: -0.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.129178992803Retained binary64: 0.12917899280337353binary64; 12 significant-digit display; only exact zero sign canonicalized | 23.9546439836Retained binary64: 23.954643983622173binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.870854031763Retained binary64: -0.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.870854031763Retained binary64: 0.8708540317633875binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.8708210072Retained binary64: 2.8708210071966267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 123 | 123 | -0.72894053971Retained binary64: -0.7289405397097926binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0899062404164Retained binary64: 0.08990624041636808binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.1509935245Retained binary64: 24.150993524471534binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.72894053971Retained binary64: -0.7289405397097926binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.72894053971Retained binary64: 0.7289405397097926binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.91009375958Retained binary64: 2.910093759583632binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 124 | 124 | -0.585270966048Retained binary64: -0.5852709660483861binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0576441587903Retained binary64: 0.05764415879030904binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.3473430653Retained binary64: 24.347343065320896binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585270966048Retained binary64: -0.5852709660483861binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.585270966048Retained binary64: 0.5852709660483861binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94235584121Retained binary64: 2.942355841209691binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 125 | 125 | -0.440191423366Retained binary64: -0.4401914233660872binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0324704701057Retained binary64: 0.03247047010565729binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.5436926062Retained binary64: 24.543692606170257binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.440191423366Retained binary64: -0.4401914233660872binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.440191423366Retained binary64: 0.4401914233660872binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.96752952989Retained binary64: 2.9675295298943425binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 126 | 126 | -0.294051420989Retained binary64: -0.29405142098868153binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0144458199834Retained binary64: 0.014445819983409214binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.740042147Retained binary64: 24.740042147019622binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.294051420989Retained binary64: -0.29405142098868153binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.294051420989Retained binary64: 0.29405142098868153binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.98555418002Retained binary64: 2.9855541800165906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 127 | 127 | -0.147203022982Retained binary64: -0.14720302298225427binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00361363138448Retained binary64: 0.003613631384482785binary64; 12 significant-digit display; only exact zero sign canonicalized | 24.9363916879Retained binary64: 24.936391687868984binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.147203022982Retained binary64: -0.14720302298225427binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0.147203022982Retained binary64: 0.14720302298225427binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.99638636862Retained binary64: 2.996386368615517binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
| 128 | 128 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25.1327412287Retained binary64: 25.132741228718345binary64; 12 significant-digit display; only exact zero sign canonicalized | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 25Exact fraction: 25Retained binary64: 25.0 | 25/2Exact fraction: 25/2Retained binary64: 12.5 | 0Exact fraction: 0Retained binary64: 0.0 |
Exact +q₀ xy center components (2 rows)
Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
| Row | value |
|---|---|
| 0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | -3Exact fraction: -3Retained binary64: -3.0 |
Exact −q₀ xy center components (2 rows)
Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
| Row | value |
|---|---|
| 0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 3Exact fraction: 3Retained binary64: 3.0 |
All five helix quarter-turn control indices (5 rows)
Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
| Row | value |
|---|---|
| 0 | 0 |
| 1 | 32 |
| 2 | 64 |
| 3 | 96 |
| 4 | 128 |
helix: exact constants, symbolic values and scope (6 rows)
Prescribed uniform B=B₀ ẑ,E=0, initial r=0,v/v₀=(3,0,4). Both charge signs use the same129-row angle audit. Only declared quarter turns have exact sine/cosine masks; other values retain original binary64 argument/function qualifications. xy projection and z advance are separate views.
| Quantity/source condition | Admitted value |
|---|---|
| radius Over L0 | 3Exact fraction: 3Retained binary64: 3.0 |
| speed Overv0 | 5Exact fraction: 5Retained binary64: 5.0 |
| K/K₀ | 25/2Exact fraction: 25/2Retained binary64: 12.5 |
| parallel Speed Overv0 | 4Exact fraction: 4Retained binary64: 4.0 |
| period Overt0 | 6.28318530718Retained binary64: 6.283185307179586Symbolic: 2*pi |
| pitch Over L0 | 25.1327412287Retained binary64: 25.132741228718345Symbolic: 8*pi |
Focus a labelled diagram or table region and use arrow keys, or scroll sideways. Fixed-size readable graphics remain inside their own regions. Complete data disclosures retain exact fractions, symbolic multiples, original precision qualifications and every stored value.
| T | x/L₀ | y/L₀ | z/L₀ | v/v₀ |
|---|---|---|---|---|
| 0 | 0 | 0 | 0 | (3,0,4) |
| π/2 | 3 | −3 | 2π | (0,−3,4) |
| π | 0 | −6 | 4π | (−3,0,4) |
| 3π/2 | −3 | −3 | 6π | (0,3,4) |
| 2π | 0 | 0 | 8π | (3,0,4) |
Return path: use momentum at high speed
The classical force law is more generally written dp/dt = q(E + v × B). For a relativistic particle p = γmv, with γ = 1/√(1 − v²/c²). Dotting with velocity gives the change of total particle energy: d(γmc²)/dt = qE·v. A purely magnetic force still does no direct work in this description.
In a uniform magnetic field with no electric field or other forces, γ is constant. The perpendicular radius becomes r_L = p_perp/(|q|B) and the laboratory gyrofrequency magnitude becomes |q|B/(γm). The simple nonrelativistic frequency independent of speed is therefore an approximation, not a universal accelerator rule.
Our original trajectories use positive symbolic v₀ chosen so that 5v₀ and the selected crossed-field speeds are much smaller than c. Their m-based time and length scales are not a numerical prediction for relativistic beams. Replacing m by γm in one selected formula while keeping an inconsistent nonrelativistic trajectory would not repair the model.
Magnetic rigidity p_perp/|q| controls curvature in a transverse field. A radius measurement alone does not determine mass, charge and speed independently. A separate speed selection, momentum or energy measurement and a charge-state assumption are needed to interpret a real spectrometer. Finite magnet fringes and detector geometry also matter.
Solve the crossed-field balance
For spatially uniform constant perpendicular fields, a velocity v_E = E × B/B² satisfies E + v_E × B = 0. The vector identity (E × B) × B = −B²E applies because E·B = 0. Thus a particle moving with this perpendicular velocity and any unchanged parallel component has no net Lorentz force in that ideal configuration.
More generally write v = v_E + u. For constant fields and E_parallel = 0, the equation for u is m du/dt = q u × B, so the remaining velocity gyrates. The guiding center drifts with v_E, while the instantaneous particle generally moves faster, slower or in another direction relative to that center.
The drift velocity contains neither mass nor charge sign under these assumptions. This does not make the opposite-sign gyromotions identical. It also does not mean that any imposed electric field leaves speed constant: electric work can exchange particle kinetic and potential energy during the gyromotion.
A nonzero E_parallel produces acceleration along B and cannot be canceled by v × B. If fields vary rapidly or spatially across an orbit, the uniform-field particular solution is no longer a complete trajectory. In relativistic field transformations, further conditions enter; the present construction is a nonrelativistic equation-of-motion result with speeds within its validity.
Derive a cold-start crossed-field trajectory
Choose E = 2v₀B₀ŷ, B = B₀ẑ, and initial position and velocity zero. The drift is +2v₀x̂. For +q₀, the dimensionless equations are du_x/dT = u_y and du_y/dT = 2 − u_x, where u = v/v₀. The solution is u = (2[1 − cos T], 2 sin T, 0). It starts at rest with acceleration toward +y, as required by the electric force.
Integrating once gives r/L₀ = (2[T − sin T], 2[1 − cos T], 0). For −q₀, the y components of both position and velocity reverse, while x is unchanged. The negative particle initially accelerates toward −y. Substitution into the signed force equations checks both solutions, rather than relying on a generic picture of a cycloid.
Over a full turn, both particles move by 4πL₀ in +x and return to y = 0 with zero velocity. Dividing that displacement by 2πt₀ gives the mean drift +2v₀x̂. Their instantaneous speed is not constantly 2v₀: at T = π it is 4v₀ and at the endpoints it is zero.
These are test particles released from rest in maintained fields, not a solution for the fields of a self-consistent plasma. Their opposite transverse motions can separate charge in a collection of particles; the resulting field would require a further coupled source calculation. Finite boundaries, collisions and field fringes also change an experimental orbit.
Reconcile the crossed-field energy ledger
Use K₀ = mv₀². For either cold-start trajectory, K/K₀ = [u_x² + u_y²]/2 = 4(1 − cos T). The static electric potential may be chosen as V = −E·r. Since the charges and y displacements both change sign between the two cases, qV/K₀ = −4(1 − cos T) for either one. Therefore K + qV remains zero, its initial value.
At T = π/2, the positive particle has r/L₀ = (π − 2,2,0), v/v₀ = (2,2,0) and K/K₀ = 4. At T = π, it has r/L₀ = (2π,4,0), v/v₀ = (4,0,0) and K/K₀ = 8. The negative particle has the same x and kinetic energy, with y and v_y reversed.
The electric work qE·[r(T) − r(0)] equals the increase in kinetic energy at every time. Magnetic power remains identically zero. During the second half of the orbit the electric field takes back the kinetic energy it supplied during the first half. After one turn the net electric work is zero even though the particle has drifted along +x.
The separate position and energy panels carry different units and axes. The nonnegative kinetic-energy curve does not represent the signed electric potential energy, and a zero net work over a cycle does not imply zero instantaneous power. These distinctions make a direct energy test more informative than judging a trajectory by its appearance.
Common mean drift and the electric-work ledger
Follow both cold-start trajectories through one turn and compare kinetic energy with signed electric potential energy and electric work. Both particles share the same mean drift; their changing kinetic energy comes entirely from electric work.
Cold-start trajectories through one turn
- +q₀: ordered trajectory samples; viewed from+z
- −q₀: opposite transverse rotation
- Five declared quarter-turn controls: small blue circles (+q₀), large orange circles (−q₀); arrows join ordered source points
K, signed qV, electric work and conserved total
- K/K₀, common to both charge signs
- Electric work W_E/K₀ = K/K₀, common to both signs
- Signed potential energy qV/K₀ = −K/K₀
- Conserved energy (K+qV)/K₀ = 0; magnetic power separately tabulated
- Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
- The xy trajectory plot uses equal physical scales,+x right,+y up, viewed from +z. Both trajectories start from rest and have common one-turn displacement4πL₀x̂; transverse deflections have opposite signs. Ordered source-point chords show finite-interval progression without normalizing the zero endpoint velocities.
- The energy panel shows common curves for both charge signs only after source equality of every corresponding energy record: K,electric work W_E,signed qV and total K+qV. Both complete positive/negative record arrays remain separately inspectable. Solid blue K remains visible between dotted green W_E because K=W_E.
- Changing K comes entirely from electric work; magnetic point-charge power remains zero. The externally prescribed static electric field and its maintained sources supply the work. This is not constant instantaneous speed, a self-consistent beam/plasma model or a computed field source.
- All 129 angle labels and masks are in the common angle-audit disclosure under the helix group. Every crossed-field record carries its exact angleIndex, and all its position/velocity/acceleration/energy values are retained.
- Every path and data entry uses the exact admitted source records. Only the five declared quarter-turn masks are exact trigonometric special cases. Other values retain binary64 argument/function/arithmetic qualifications,12-significant-digit displays and full stored values. No near-zero snap, orbit integrator, empirical constant or source-field simulation is introduced.
Complete labelled data equivalents preserve every admitted record, scalar, mask, sign and source condition. Original manuscript tables remain separate.
Cold-start crossed-field controls, common to both charge signs except transverse direction
Prescribed crossed electric-field components (3 rows)
Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
| Row | value |
|---|---|
| 0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 2Exact fraction: 2Retained binary64: 2.0 |
| 2 | 0Exact fraction: 0Retained binary64: 0.0 |
Prescribed crossed magnetic-field components (3 rows)
Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
| Row | value |
|---|---|
| 0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 0Exact fraction: 0Retained binary64: 0.0 |
| 2 | 1Exact fraction: 1Retained binary64: 1.0 |
All 129 +q₀ crossed-field records (129 rows)
Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
| Row | Common angle-audit index | r/L₀, x component | r/L₀, y component | r/L₀, z component | v/v₀, x component | v/v₀, y component | v/v₀, z component | a/(v₀/t₀), x component | a/(v₀/t₀), y component | a/(v₀/t₀), z component | K/K₀ | Signed qV/K₀ | Electric work/K₀ | (K+qV)/K₀ | Magnetic point-charge power (zero) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0Retained binary64: 0.0binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 1 | 3.9421769845e-05Retained binary64: 3.9421769845005006e-05binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00240908758966Retained binary64: 0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00240908758966Retained binary64: 0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483603binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0981353486548Retained binary64: 0.09813534865483603binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00481817517931Retained binary64: -0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 2 | 2 | 0.000315260190241Retained binary64: 0.0003152601902408625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00963054665561Retained binary64: 0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00963054665561Retained binary64: 0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.1960342806591212binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.196034280659Retained binary64: 0.1960342806591212binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0192610933112Retained binary64: -0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 3 | 3 | 0.00106336236332Retained binary64: 0.0010633623633196088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0216469800704Retained binary64: 0.02164698007043797binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0216469800704Retained binary64: 0.02164698007043797binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.2934609489107235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.293460948911Retained binary64: 0.2934609489107235binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0432939601409Retained binary64: 0.04329396014087594binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0432939601409Retained binary64: -0.04329396014087594binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0432939601409Retained binary64: 0.04329396014087594binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 4 | 4 | 0.00251843766647Retained binary64: 0.0025184376664676433binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0384294391935Retained binary64: 0.03842943919353914binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0384294391935Retained binary64: 0.03842943919353914binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.3901806440322565binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.390180644032Retained binary64: 0.3901806440322565binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0768588783871Retained binary64: 0.07685887838707828binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0768588783871Retained binary64: -0.07685887838707828binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0768588783871Retained binary64: 0.07685887838707828binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 5 | 5 | 0.00491349231688Retained binary64: 0.0049134923168774325binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0599374936109Retained binary64: 0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0599374936109Retained binary64: 0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.48596035980652774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.485960359807Retained binary64: 0.48596035980652774binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.119874987222Retained binary64: -0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 6 | 6 | 0.00847926803916Retained binary64: 0.008479268039161547binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0861193285356Retained binary64: 0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0861193285356Retained binary64: 0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.5805693545089247binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.580569354509Retained binary64: 0.5805693545089247binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.172238657071Retained binary64: -0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 7 | 7 | 0.0134436861883Retained binary64: 0.013443686188327142binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.116911869634Retained binary64: 0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.116911869634Retained binary64: 0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.6737797067844401binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.673779706784Retained binary64: 0.6737797067844401binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.233823739268Retained binary64: -0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 8 | 8 | 0.0200312986673Retained binary64: 0.020031298667268715binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.152240934977Retained binary64: 0.15224093497742652binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.152240934977Retained binary64: 0.15224093497742652binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.7653668647301796binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.76536686473Retained binary64: 0.7653668647301796binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.304481869955Retained binary64: 0.30448186995485305binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.304481869955Retained binary64: -0.30448186995485305binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.304481869955Retained binary64: 0.30448186995485305binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 9 | 9 | 0.0284627469616Retained binary64: 0.028462746961565144binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.192021413753Retained binary64: 0.19202141375311332binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.192021413753Retained binary64: 0.19202141375311332binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.8551101868605642binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.855110186861Retained binary64: 0.8551101868605642binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.384042827506Retained binary64: 0.38404282750622665binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.384042827506Retained binary64: -0.38404282750622665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.384042827506Retained binary64: 0.38404282750622665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 10 | 10 | 0.0389542305948Retained binary64: 0.038954230594815065binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.236157471303Retained binary64: 0.2361574713032899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.236157471303Retained binary64: 0.2361574713032899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.942793473652Retained binary64: 0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.472314942607Retained binary64: 0.4723149426065798binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.472314942607Retained binary64: -0.4723149426065798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.472314942607Retained binary64: 0.4723149426065798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 11 | 11 | 0.051716986285Retained binary64: 0.05171698628504795binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.284542779999Retained binary64: 0.28454277999945576binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.284542779999Retained binary64: 0.28454277999945576binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.0282054883864433binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.02820548839Retained binary64: 1.0282054883864433binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.569085559999Retained binary64: 0.5690855599989115binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.569085559999Retained binary64: -0.5690855599989115binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.569085559999Retained binary64: 0.5690855599989115binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 12 | 12 | 0.066956779057Retained binary64: 0.06695677905696806binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.337060775395Retained binary64: 0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.337060775395Retained binary64: 0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.67412155079Retained binary64: -0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 13 | 13 | 0.084873406536Retained binary64: 0.08487340653598685binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.393584937039Retained binary64: 0.3935849370387101binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.393584937039Retained binary64: 0.3935849370387101binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.1913986089848667binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.19139860898Retained binary64: 1.1913986089848667binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.787169874077Retained binary64: 0.7871698740774202binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.787169874077Retained binary64: -0.7871698740774202binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.787169874077Retained binary64: 0.7871698740774202binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 14 | 14 | 0.105660217618Retained binary64: 0.10566021761824351binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.453979093275Retained binary64: 0.453979093274526binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.453979093275Retained binary64: 0.453979093274526binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.26878656833Retained binary64: 1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.907958186549Retained binary64: 0.907958186549052binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.907958186549Retained binary64: -0.907958186549052binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.907958186549Retained binary64: 0.907958186549052binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 15 | 15 | 0.129503646676Retained binary64: 0.12950364667617875binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.51809774929Retained binary64: 0.5180977492900816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.51809774929Retained binary64: 0.5180977492900816binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.34311790969Retained binary64: 1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.4819022507099184binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.03619549858Retained binary64: 1.0361954985801631binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.03619549858Retained binary64: -1.0361954985801631binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.03619549858Retained binary64: 1.0361954985801631binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 16 | 16 | 0.156582764422Retained binary64: 0.1565827644218014binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585786437627Retained binary64: 0.5857864376269049binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.585786437627Retained binary64: 0.5857864376269049binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41421356237Retained binary64: 1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.17157287525Retained binary64: 1.1715728752538097binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.17157287525Retained binary64: -1.1715728752538097binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.17157287525Retained binary64: 1.1715728752538097binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 17 | 17 | 0.18706884651Retained binary64: 0.1870688465096595binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.656882090306Retained binary64: 0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.656882090306Retained binary64: 0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.48190225071Retained binary64: 1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.31376418061Retained binary64: -1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 18 | 18 | 0.221124960919Retained binary64: 0.22112496091878486binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.731213431673Retained binary64: 0.731213431672709binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.731213431673Retained binary64: 0.731213431672709binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.54602090673Retained binary64: 1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.46242686335Retained binary64: 1.462426863345418binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.46242686335Retained binary64: -1.462426863345418binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.46242686335Retained binary64: 1.462426863345418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 19 | 19 | 0.258905575108Retained binary64: 0.2589055751076499binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.808601391015Retained binary64: 0.8086013910151331binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.808601391015Retained binary64: 0.8086013910151331binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60641506296Retained binary64: 1.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.191398608984867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.61720278203Retained binary64: 1.6172027820302661binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.61720278203Retained binary64: -1.6172027820302661binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.61720278203Retained binary64: 1.6172027820302661binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 20 | 20 | 0.300556183889Retained binary64: 0.3005561838885302binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.888859533961Retained binary64: 0.8888595339607954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.888859533961Retained binary64: 0.8888595339607954binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.66293922461Retained binary64: 1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.1111404660392046binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.77771906792Retained binary64: 1.7777190679215908binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.77771906792Retained binary64: -1.7777190679215908binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.77771906792Retained binary64: 1.7777190679215908binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 21 | 21 | 0.346212958918Retained binary64: 0.3462129589177576binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.971794511614Retained binary64: 0.9717945116135567binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.971794511614Retained binary64: 0.9717945116135567binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.0282054883864433binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94358902323Retained binary64: 1.9435890232271134binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94358902323Retained binary64: -1.9435890232271134binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94358902323Retained binary64: 1.9435890232271134binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 22 | 22 | 0.396002420646Retained binary64: 0.39600242064627267binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.05720652635Retained binary64: 1.0572065263480044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.05720652635Retained binary64: 1.0572065263480044binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.7638425287Retained binary64: 1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519956binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.1144130527Retained binary64: 2.1144130526960088binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.1144130527Retained binary64: -2.1144130526960088binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.1144130527Retained binary64: 2.1144130526960088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 23 | 23 | 0.450041133521Retained binary64: 0.450041133520777binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.14488981314Retained binary64: 1.1448898131394356binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.14488981314Retained binary64: 1.1448898131394356binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80797858625Retained binary64: 1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.8551101868605644binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.28977962628Retained binary64: 2.289779626278871binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.28977962628Retained binary64: -2.289779626278871binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.28977962628Retained binary64: 2.289779626278871binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 24 | 24 | 0.50843542517Retained binary64: 0.5084354251697714binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.23463313527Retained binary64: 1.2346331352698203binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.23463313527Retained binary64: 1.2346331352698203binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.7653668647301797binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.46926627054Retained binary64: 2.4692662705396407binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.46926627054Retained binary64: -2.4692662705396407binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.46926627054Retained binary64: 2.4692662705396407binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 25 | 25 | 0.571281130251Retained binary64: 0.5712811302509844binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.32622029322Retained binary64: 1.32622029321556binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.32622029322Retained binary64: 1.32622029321556binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.6737797067844401binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.65244058643Retained binary64: 2.65244058643112binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.65244058643Retained binary64: -2.65244058643112binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.65244058643Retained binary64: 2.65244058643112binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 26 | 26 | 0.638663359577Retained binary64: 0.6386633595772893binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41943064549Retained binary64: 1.4194306454910754binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41943064549Retained binary64: 1.4194306454910754binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.5805693545089247binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.83886129098Retained binary64: 2.838861290982151binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.83886129098Retained binary64: -2.838861290982151binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.83886129098Retained binary64: 2.838861290982151binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 27 | 27 | 0.710656295077Retained binary64: 0.7106562950772999binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.51403964019Retained binary64: 1.514039640193472binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.51403964019Retained binary64: 1.514039640193472binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.48596035980652796binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02807928039Retained binary64: 3.028079280386944binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.02807928039Retained binary64: -3.028079280386944binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.02807928039Retained binary64: 3.028079280386944binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 28 | 28 | 0.787323011085Retained binary64: 0.7873230110846081binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60981935597Retained binary64: 1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60981935597Retained binary64: 1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.39018064403225666binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.21963871194Retained binary64: -3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 29 | 29 | 0.868715322386Retained binary64: 0.8687153223861881binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.70653905109Retained binary64: 1.7065390510892766binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.70653905109Retained binary64: 1.7065390510892766binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.2934609489107235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41307810218Retained binary64: 3.4130781021785532binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.41307810218Retained binary64: -3.4130781021785532binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.41307810218Retained binary64: 3.4130781021785532binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 30 | 30 | 0.954873659396Retained binary64: 0.9548736593960372binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80396571934Retained binary64: 1.8039657193408785binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80396571934Retained binary64: 1.8039657193408785binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99036945334Retained binary64: 1.9903694533443936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.19603428065912154binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60793143868Retained binary64: 3.607931438681757binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.60793143868Retained binary64: -3.607931438681757binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.60793143868Retained binary64: 3.607931438681757binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 31 | 31 | 1.04582697075Retained binary64: 1.0458269707547672binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90186465135Retained binary64: 1.9018646513451638binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.90186465135Retained binary64: 1.9018646513451638binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80372930269Retained binary64: 3.8037293026903276binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.80372930269Retained binary64: -3.8037293026903276binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.80372930269Retained binary64: 3.8037293026903276binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 32 | 32 | 1.14159265359Retained binary64: 1.1415926535897931binary64; 12 significant-digit display; only exact zero sign canonicalized | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | -4Exact fraction: -4Retained binary64: -4.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 33 | 33 | 1.2421765116Retained binary64: 1.2421765116041295binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.09813534865Retained binary64: 2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.09813534865Retained binary64: 2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483602binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.19627069731Retained binary64: -4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 34 | 34 | 1.34757274109Retained binary64: 1.3475727410947616binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.19603428066Retained binary64: 2.1960342806591213binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.19603428066Retained binary64: 2.1960342806591213binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.1960342806591213binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.39206856132Retained binary64: 4.392068561318243binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.39206856132Retained binary64: -4.392068561318243binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.39206856132Retained binary64: 4.392068561318243binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 35 | 35 | 1.45776394493Retained binary64: 1.457763944934274binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.29346094891Retained binary64: 2.2934609489107234binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.29346094891Retained binary64: 2.2934609489107234binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.2934609489107233binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.58692189782Retained binary64: 4.586921897821447binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.58692189782Retained binary64: -4.586921897821447binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.58692189782Retained binary64: 4.586921897821447binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 36 | 36 | 1.57272117448Retained binary64: 1.5727211744820564binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.39018064403Retained binary64: 2.3901806440322564binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.39018064403Retained binary64: 2.3901806440322564binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.3901806440322564binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.78036128806Retained binary64: 4.780361288064513binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.78036128806Retained binary64: -4.780361288064513binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.78036128806Retained binary64: 4.780361288064513binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 37 | 37 | 1.69240399932Retained binary64: 1.6924039993241105binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.48596035981Retained binary64: 2.4859603598065276binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.48596035981Retained binary64: 2.4859603598065276binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.48596035980652774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.97192071961Retained binary64: 4.971920719613055binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.97192071961Retained binary64: -4.971920719613055binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.97192071961Retained binary64: 4.971920719613055binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 38 | 38 | 1.81676060467Retained binary64: 1.8167606046734612binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.58056935451Retained binary64: 2.580569354508924binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.58056935451Retained binary64: 2.580569354508924binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.5805693545089243binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.16113870902Retained binary64: 5.161138709017848binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.16113870902Retained binary64: -5.161138709017848binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.16113870902Retained binary64: 5.161138709017848binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 39 | 39 | 1.9457279162Retained binary64: 1.9457279161965186binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.67377970678Retained binary64: 2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.67377970678Retained binary64: 2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.6737797067844399binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.34755941357Retained binary64: -5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 40 | 40 | 2.07923175196Retained binary64: 2.079231751964668binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.76536686473Retained binary64: 2.7653668647301792binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.76536686473Retained binary64: 2.7653668647301792binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.7653668647301795binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.53073372946Retained binary64: 5.5307337294603585binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.53073372946Retained binary64: -5.5307337294603585binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.53073372946Retained binary64: 5.5307337294603585binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 41 | 41 | 2.21718700117Retained binary64: 2.217187001165035binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.85511018686Retained binary64: 2.8551101868605637binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.85511018686Retained binary64: 2.8551101868605637binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80797858625Retained binary64: 1.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.8551101868605637binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.71022037372Retained binary64: 5.7102203737211275binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.71022037372Retained binary64: -5.7102203737211275binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.71022037372Retained binary64: 5.7102203737211275binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 42 | 42 | 2.35949782914Retained binary64: 2.359497829139894binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94279347365Retained binary64: 2.9427934736519954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.94279347365Retained binary64: 2.9427934736519954binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.7638425287Retained binary64: 1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.8855869473Retained binary64: 5.885586947303991binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.8855869473Retained binary64: -5.885586947303991binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.8855869473Retained binary64: 5.885586947303991binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 43 | 43 | 2.50605790826Retained binary64: 2.50605790826074binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.02820548839Retained binary64: 3.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02820548839Retained binary64: 3.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.05641097677Retained binary64: 6.056410976772886binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.05641097677Retained binary64: -6.056410976772886binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.05641097677Retained binary64: 6.056410976772886binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 44 | 44 | 2.65675067408Retained binary64: 2.6567506740808744binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.11114046604Retained binary64: 3.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.11114046604Retained binary64: 3.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.66293922461Retained binary64: 1.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.22228093208Retained binary64: 6.222280932078408binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.22228093208Retained binary64: -6.222280932078408binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.22228093208Retained binary64: 6.222280932078408binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 45 | 45 | 2.81144960615Retained binary64: 2.811449606149357binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.19139860898Retained binary64: 3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.19139860898Retained binary64: 3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60641506296Retained binary64: 1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.1913986089848667binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.38279721797Retained binary64: -6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 46 | 46 | 2.97001853281Retained binary64: 2.970018532809853binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.26878656833Retained binary64: 3.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.26878656833Retained binary64: 3.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.5460209067254742binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.54602090673Retained binary64: 1.5460209067254742binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.2687865683272908binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.53757313665Retained binary64: 6.537573136654581binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.53757313665Retained binary64: -6.537573136654581binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.53757313665Retained binary64: 6.537573136654581binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 47 | 47 | 3.13231195925Retained binary64: 3.132311959250091binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.34311790969Retained binary64: 3.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.34311790969Retained binary64: 3.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.481902250709918binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.48190225071Retained binary64: 1.481902250709918binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.3431179096940369binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.68623581939Retained binary64: 6.686235819388074binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.68623581939Retained binary64: -6.686235819388074binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.68623581939Retained binary64: 6.686235819388074binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 48 | 48 | 3.29817541801Retained binary64: 3.2981754180115948binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.41421356237Retained binary64: 3.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41421356237Retained binary64: 3.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41421356237Retained binary64: 1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.82842712475Retained binary64: 6.82842712474619binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.82842712475Retained binary64: -6.82842712474619binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.82842712475Retained binary64: 6.82842712474619binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 49 | 49 | 3.46744584112Retained binary64: 3.4674458411153335binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.48190225071Retained binary64: 3.4819022507099175binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.48190225071Retained binary64: 3.4819022507099175binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.34311790969Retained binary64: 1.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.96380450142Retained binary64: 6.963804501419835binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.96380450142Retained binary64: -6.963804501419835binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.96380450142Retained binary64: 6.963804501419835binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 50 | 50 | 3.63995195291Retained binary64: 3.639951952906761binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.54602090673Retained binary64: 3.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.54602090673Retained binary64: 3.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.26878656833Retained binary64: 1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.09204181345Retained binary64: 7.0920418134509475binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.09204181345Retained binary64: -7.0920418134509475binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.09204181345Retained binary64: 7.0920418134509475binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 51 | 51 | 3.81551468267Retained binary64: 3.8155146826738657binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.60641506296Retained binary64: 3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60641506296Retained binary64: 3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.191398608984867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.19139860898Retained binary64: 1.191398608984867binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.21283012592Retained binary64: -7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 52 | 52 | 3.99394759604Retained binary64: 3.99394759604421binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.66293922461Retained binary64: 3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.66293922461Retained binary64: 3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.32587844921Retained binary64: -7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 53 | 53 | 4.17505734412Retained binary64: 4.175057344121651binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.71545722Retained binary64: 3.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.71545722Retained binary64: 3.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.02820548839Retained binary64: 1.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.43091444Retained binary64: 7.430914440001088binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.43091444Retained binary64: -7.430914440001088binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.43091444Retained binary64: 7.430914440001088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 54 | 54 | 4.35864412928Retained binary64: 4.35864412928078binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.7638425287Retained binary64: 3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.7638425287Retained binary64: 3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519956binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.942793473652Retained binary64: 0.9427934736519956binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.52768505739Retained binary64: -7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 55 | 55 | 4.5445021865Retained binary64: 4.544502186496893binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.80797858625Retained binary64: 3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80797858625Retained binary64: 3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.8551101868605641binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.855110186861Retained binary64: 0.8551101868605641binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.61595717249Retained binary64: -7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 56 | 56 | 4.73242027905Retained binary64: 4.732420279051958binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.84775906502Retained binary64: 3.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.84775906502Retained binary64: 3.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.7653668647301798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.76536686473Retained binary64: 0.7653668647301798binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.69551813005Retained binary64: 7.695518130045147binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.69551813005Retained binary64: -7.695518130045147binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.69551813005Retained binary64: 7.695518130045147binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 57 | 57 | 4.92218220742Retained binary64: 4.922182207422378binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.88308813037Retained binary64: 3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.88308813037Retained binary64: 3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.6737797067844407binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.673779706784Retained binary64: 0.6737797067844407binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.76617626073Retained binary64: -7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 58 | 58 | 5.11356733012Retained binary64: 5.113567330122575binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.91388067146Retained binary64: 3.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.91388067146Retained binary64: 3.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.5805693545089248binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.580569354509Retained binary64: 0.5805693545089248binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.82776134293Retained binary64: 7.827761342928835binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.82776134293Retained binary64: -7.827761342928835binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.82776134293Retained binary64: 7.827761342928835binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 59 | 59 | 5.30635109525Retained binary64: 5.306351095249653binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.94006250639Retained binary64: 3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.94006250639Retained binary64: 3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.48596035980652813binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.485960359807Retained binary64: 0.48596035980652813binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.88012501278Retained binary64: -7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 60 | 60 | 5.50030558145Retained binary64: 5.500305581448605binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.96157056081Retained binary64: 3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.96157056081Retained binary64: 3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.3901806440322572binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.390180644032Retained binary64: 0.3901806440322572binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.92314112161Retained binary64: -7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 61 | 61 | 5.69520004699Retained binary64: 5.695200046994819binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.97835301993Retained binary64: 3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.97835301993Retained binary64: 3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.2934609489107236binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.293460948911Retained binary64: 0.2934609489107236binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.95670603986Retained binary64: -7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 62 | 62 | 5.89080148567Retained binary64: 5.890801485671102binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.99036945334Retained binary64: 3.9903694533443934binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99036945334Retained binary64: 3.9903694533443934binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.19603428065912165binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.196034280659Retained binary64: 0.19603428065912165binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.98073890669Retained binary64: 7.980738906688787binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.98073890669Retained binary64: -7.980738906688787binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.98073890669Retained binary64: 7.980738906688787binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 63 | 63 | 6.0868751881Retained binary64: 6.08687518810007binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.99759091241Retained binary64: 3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99759091241Retained binary64: 3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483593binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0981353486548Retained binary64: 0.09813534865483593binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.99518182482Retained binary64: -7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 64 | 64 | 6.28318530718Retained binary64: 6.283185307179586binary64; 12 significant-digit display; only exact zero sign canonicalized | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 8Exact fraction: 8Retained binary64: 8.0 | -8Exact fraction: -8Retained binary64: -8.0 | 8Exact fraction: 8Retained binary64: 8.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 65 | 65 | 6.47949542626Retained binary64: 6.479495426259103binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.99759091241Retained binary64: 3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99759091241Retained binary64: 3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483545binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.0981353486548Retained binary64: -0.09813534865483545binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.99518182482Retained binary64: -7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 66 | 66 | 6.67556912869Retained binary64: 6.675569128688069binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.99036945334Retained binary64: 3.990369453344394binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99036945334Retained binary64: 3.990369453344394binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.19603428065912118binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.196034280659Retained binary64: -0.19603428065912118binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.98073890669Retained binary64: 7.980738906688788binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.98073890669Retained binary64: -7.980738906688788binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.98073890669Retained binary64: 7.980738906688788binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 67 | 67 | 6.87117056736Retained binary64: 6.871170567364352binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.97835301993Retained binary64: 3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.97835301993Retained binary64: 3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.29346094891072316binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.293460948911Retained binary64: -0.29346094891072316binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.95670603986Retained binary64: -7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 68 | 68 | 7.06606503291Retained binary64: 7.066065032910568binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.96157056081Retained binary64: 3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.96157056081Retained binary64: 3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.3901806440322567binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.390180644032Retained binary64: -0.3901806440322567binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.92314112161Retained binary64: -7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 69 | 69 | 7.26001951911Retained binary64: 7.26001951910952binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.94006250639Retained binary64: 3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.94006250639Retained binary64: 3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.48596035980652763binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.485960359807Retained binary64: -0.48596035980652763binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.88012501278Retained binary64: -7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 70 | 70 | 7.45280328424Retained binary64: 7.452803284236596binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.91388067146Retained binary64: 3.913880671464418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.91388067146Retained binary64: 3.913880671464418binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.5805693545089242binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.580569354509Retained binary64: -0.5805693545089242binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.82776134293Retained binary64: 7.827761342928836binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.82776134293Retained binary64: -7.827761342928836binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.82776134293Retained binary64: 7.827761342928836binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 71 | 71 | 7.64418840694Retained binary64: 7.644188406936794binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.88308813037Retained binary64: 3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.88308813037Retained binary64: 3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.6737797067844402binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.673779706784Retained binary64: -0.6737797067844402binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.76617626073Retained binary64: -7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 72 | 72 | 7.83395033531Retained binary64: 7.833950335307214binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.84775906502Retained binary64: 3.847759065022574binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.84775906502Retained binary64: 3.847759065022574binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.7653668647301793binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.76536686473Retained binary64: -0.7653668647301793binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.8477590650225737binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.69551813005Retained binary64: 7.695518130045148binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.69551813005Retained binary64: -7.695518130045148binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.69551813005Retained binary64: 7.695518130045148binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 73 | 73 | 8.02186842786Retained binary64: 8.021868427862278binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.80797858625Retained binary64: 3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80797858625Retained binary64: 3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.8551101868605636binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.855110186861Retained binary64: -0.8551101868605636binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.61595717249Retained binary64: -7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 74 | 74 | 8.20772648508Retained binary64: 8.207726485078393binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.7638425287Retained binary64: 3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.7638425287Retained binary64: 3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.942793473652Retained binary64: -0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.52768505739Retained binary64: -7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 75 | 75 | 8.39131327024Retained binary64: 8.391313270237521binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.71545722Retained binary64: 3.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.71545722Retained binary64: 3.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.02820548839Retained binary64: -1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.43091444Retained binary64: 7.4309144400010885binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.43091444Retained binary64: -7.4309144400010885binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.43091444Retained binary64: 7.4309144400010885binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 76 | 76 | 8.57242301831Retained binary64: 8.572423018314963binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.66293922461Retained binary64: 3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.66293922461Retained binary64: 3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.11114046604Retained binary64: -1.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.662939224605091binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.32587844921Retained binary64: -7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 77 | 77 | 8.75085593169Retained binary64: 8.750855931685306binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.60641506296Retained binary64: 3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60641506296Retained binary64: 3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.19139860898Retained binary64: -1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.21283012592Retained binary64: -7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 78 | 78 | 8.92641866145Retained binary64: 8.926418661452411binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.54602090673Retained binary64: 3.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.54602090673Retained binary64: 3.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.26878656833Retained binary64: -1.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.5460209067254742binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.09204181345Retained binary64: 7.092041813450948binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.09204181345Retained binary64: -7.092041813450948binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.09204181345Retained binary64: 7.092041813450948binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 79 | 79 | 9.09892477324Retained binary64: 9.098924773243839binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.48190225071Retained binary64: 3.4819022507099184binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.48190225071Retained binary64: 3.4819022507099184binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.3431179096940369binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.34311790969Retained binary64: -1.3431179096940369binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.96380450142Retained binary64: 6.963804501419837binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.96380450142Retained binary64: -6.963804501419837binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.96380450142Retained binary64: 6.963804501419837binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 80 | 80 | 9.26819519635Retained binary64: 9.268195196347577binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.41421356237Retained binary64: 3.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41421356237Retained binary64: 3.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.41421356237Retained binary64: -1.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.82842712475Retained binary64: 6.828427124746191binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.82842712475Retained binary64: -6.828427124746191binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.82842712475Retained binary64: 6.828427124746191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 81 | 81 | 9.43405865511Retained binary64: 9.434058655109082binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.34311790969Retained binary64: 3.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.34311790969Retained binary64: 3.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.48190225071Retained binary64: -1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.68623581939Retained binary64: 6.686235819388075binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.68623581939Retained binary64: -6.686235819388075binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.68623581939Retained binary64: 6.686235819388075binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 82 | 82 | 9.59635208155Retained binary64: 9.596352081549318binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.26878656833Retained binary64: 3.268786568327292binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.26878656833Retained binary64: 3.268786568327292binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.5460209067254733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.54602090673Retained binary64: -1.5460209067254733binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.2687865683272919binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.53757313665Retained binary64: 6.537573136654584binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.53757313665Retained binary64: -6.537573136654584binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.53757313665Retained binary64: 6.537573136654584binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 83 | 83 | 9.75492100821Retained binary64: 9.754921008209816binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.19139860898Retained binary64: 3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.19139860898Retained binary64: 3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.60641506296129binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.60641506296Retained binary64: -1.60641506296129binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.1913986089848663binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.38279721797Retained binary64: -6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 84 | 84 | 9.90961994028Retained binary64: 9.909619940278297binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.11114046604Retained binary64: 3.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.11114046604Retained binary64: 3.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.66293922461Retained binary64: -1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.22228093208Retained binary64: 6.222280932078409binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.22228093208Retained binary64: -6.222280932078409binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.22228093208Retained binary64: 6.222280932078409binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 85 | 85 | 10.0603127061Retained binary64: 10.060312706098433binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.02820548839Retained binary64: 3.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02820548839Retained binary64: 3.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.71545722Retained binary64: -1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.05641097677Retained binary64: 6.056410976772887binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.05641097677Retained binary64: -6.056410976772887binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.05641097677Retained binary64: 6.056410976772887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 86 | 86 | 10.2068727852Retained binary64: 10.206872785219279binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.94279347365Retained binary64: 2.942793473651996binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.94279347365Retained binary64: 2.942793473651996binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.7638425287Retained binary64: -1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519957binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.8855869473Retained binary64: 5.885586947303992binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.8855869473Retained binary64: -5.885586947303992binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.8855869473Retained binary64: 5.885586947303992binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 87 | 87 | 10.3491836132Retained binary64: 10.349183613194135binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.85511018686Retained binary64: 2.855110186860565binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.85511018686Retained binary64: 2.855110186860565binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.8079785862468862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.80797858625Retained binary64: -1.8079785862468862binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.855110186860565binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.71022037372Retained binary64: 5.71022037372113binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.71022037372Retained binary64: -5.71022037372113binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.71022037372Retained binary64: 5.71022037372113binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 88 | 88 | 10.4871388624Retained binary64: 10.487138862394502binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.76536686473Retained binary64: 2.7653668647301806binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.76536686473Retained binary64: 2.7653668647301806binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.847759065022573binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.84775906502Retained binary64: -1.847759065022573binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.7653668647301807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.53073372946Retained binary64: 5.530733729460361binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.53073372946Retained binary64: -5.530733729460361binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.53073372946Retained binary64: 5.530733729460361binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 89 | 89 | 10.6206426982Retained binary64: 10.620642698162655binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.67377970678Retained binary64: 2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.67377970678Retained binary64: 2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.6737797067844399binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.34755941357Retained binary64: -5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 90 | 90 | 10.7496100097Retained binary64: 10.74961000968571binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.58056935451Retained binary64: 2.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.58056935451Retained binary64: 2.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.91388067146Retained binary64: -1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.5805693545089249binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.16113870902Retained binary64: 5.16113870901785binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.16113870902Retained binary64: -5.16113870901785binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.16113870902Retained binary64: 5.16113870901785binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 91 | 91 | 10.873966615Retained binary64: 10.873966615035062binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.48596035981Retained binary64: 2.485960359806528binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.48596035981Retained binary64: 2.485960359806528binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.48596035980652824binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.97192071961Retained binary64: 4.971920719613056binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.97192071961Retained binary64: -4.971920719613056binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.97192071961Retained binary64: 4.971920719613056binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 92 | 92 | 10.9936494399Retained binary64: 10.993649439877116binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.39018064403Retained binary64: 2.3901806440322573binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.39018064403Retained binary64: 2.3901806440322573binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.96157056081Retained binary64: -1.9615705608064606binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.39018064403225733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.78036128806Retained binary64: 4.7803612880645145binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.78036128806Retained binary64: -4.7803612880645145binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.78036128806Retained binary64: 4.7803612880645145binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 93 | 93 | 11.1086066694Retained binary64: 11.108606669424898binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.29346094891Retained binary64: 2.2934609489107247binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.29346094891Retained binary64: 2.2934609489107247binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.97835301993Retained binary64: -1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.2934609489107246binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.58692189782Retained binary64: 4.586921897821449binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.58692189782Retained binary64: -4.586921897821449binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.58692189782Retained binary64: 4.586921897821449binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 94 | 94 | 11.2187978733Retained binary64: 11.218797873264412binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.19603428066Retained binary64: 2.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.19603428066Retained binary64: 2.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.1960342806591209binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.39206856132Retained binary64: 4.392068561318242binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.39206856132Retained binary64: -4.392068561318242binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.39206856132Retained binary64: 4.392068561318242binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 95 | 95 | 11.3241941028Retained binary64: 11.324194102755044binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.09813534865Retained binary64: 2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.09813534865Retained binary64: 2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.19627069731Retained binary64: -4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 96 | 96 | 11.4247779608Retained binary64: 11.42477796076938binary64; 12 significant-digit display; only exact zero sign canonicalized | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | -4Exact fraction: -4Retained binary64: -4.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 97 | 97 | 11.5205436436Retained binary64: 11.520543643604405binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.90186465135Retained binary64: 1.9018646513451647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.90186465135Retained binary64: 1.9018646513451647binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483532binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80372930269Retained binary64: 3.8037293026903294binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.80372930269Retained binary64: -3.8037293026903294binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.80372930269Retained binary64: 3.8037293026903294binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 98 | 98 | 11.611496955Retained binary64: 11.611496954963135binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80396571934Retained binary64: 1.8039657193408798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80396571934Retained binary64: 1.8039657193408798binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.19603428065912018binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60793143868Retained binary64: 3.6079314386817596binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.60793143868Retained binary64: -3.6079314386817596binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.60793143868Retained binary64: 3.6079314386817596binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 99 | 99 | 11.697655292Retained binary64: 11.697655291972985binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.70653905109Retained binary64: 1.7065390510892762binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.70653905109Retained binary64: 1.7065390510892762binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.97835301993Retained binary64: -1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.2934609489107239binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41307810218Retained binary64: 3.4130781021785523binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.41307810218Retained binary64: -3.4130781021785523binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.41307810218Retained binary64: 3.4130781021785523binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 100 | 100 | 11.7790476033Retained binary64: 11.779047603274565binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60981935597Retained binary64: 1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60981935597Retained binary64: 1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.3901806440322566binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.21963871194Retained binary64: -3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 101 | 101 | 11.8557143193Retained binary64: 11.855714319281873binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.51403964019Retained binary64: 1.5140396401934724binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.51403964019Retained binary64: 1.5140396401934724binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.4859603598065275binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02807928039Retained binary64: 3.0280792803869447binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.02807928039Retained binary64: -3.0280792803869447binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.02807928039Retained binary64: 3.0280792803869447binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 102 | 102 | 11.9277072548Retained binary64: 11.927707254781883binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41943064549Retained binary64: 1.419430645491076binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41943064549Retained binary64: 1.419430645491076binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.91388067146Retained binary64: -1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.5805693545089241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.83886129098Retained binary64: 2.838861290982152binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.83886129098Retained binary64: -2.838861290982152binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.83886129098Retained binary64: 2.838861290982152binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 103 | 103 | 11.9950894841Retained binary64: 11.995089484108188binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.32622029322Retained binary64: 1.326220293215561binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.32622029322Retained binary64: 1.326220293215561binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.88308813037Retained binary64: -1.8830881303660418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.6737797067844392binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.65244058643Retained binary64: 2.652440586431122binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.65244058643Retained binary64: -2.652440586431122binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.65244058643Retained binary64: 2.652440586431122binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 104 | 104 | 12.0579351892Retained binary64: 12.057935189189402binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.23463313527Retained binary64: 1.2346331352698199binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.23463313527Retained binary64: 1.2346331352698199binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.8477590650225733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.84775906502Retained binary64: -1.8477590650225733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.76536686473018binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.46926627054Retained binary64: 2.4692662705396398binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.46926627054Retained binary64: -2.4692662705396398binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.46926627054Retained binary64: 2.4692662705396398binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 105 | 105 | 12.1163294808Retained binary64: 12.116329480838395binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.14488981314Retained binary64: 1.1448898131394358binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.14488981314Retained binary64: 1.1448898131394358binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.80797858625Retained binary64: -1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.8551101868605643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.28977962628Retained binary64: 2.2897796262788717binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.28977962628Retained binary64: -2.2897796262788717binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.28977962628Retained binary64: 2.2897796262788717binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 106 | 106 | 12.1703681937Retained binary64: 12.1703681937129binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.05720652635Retained binary64: 1.0572065263480048binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.05720652635Retained binary64: 1.0572065263480048binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.7638425287Retained binary64: -1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519952binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.1144130527Retained binary64: 2.1144130526960097binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.1144130527Retained binary64: -2.1144130526960097binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.1144130527Retained binary64: 2.1144130526960097binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 107 | 107 | 12.2201576554Retained binary64: 12.220157655441415binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.971794511614Retained binary64: 0.9717945116135569binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.971794511614Retained binary64: 0.9717945116135569binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.7154572200005445binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.71545722Retained binary64: -1.7154572200005445binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94358902323Retained binary64: 1.9435890232271138binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94358902323Retained binary64: -1.9435890232271138binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94358902323Retained binary64: 1.9435890232271138binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 108 | 108 | 12.2658144305Retained binary64: 12.265814430470643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.888859533961Retained binary64: 0.8888595339607963binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.888859533961Retained binary64: 0.8888595339607963binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.662939224605091binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.66293922461Retained binary64: -1.662939224605091binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.1111404660392037binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.77771906792Retained binary64: 1.7777190679215926binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.77771906792Retained binary64: -1.7777190679215926binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.77771906792Retained binary64: 1.7777190679215926binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 109 | 109 | 12.3074650393Retained binary64: 12.307465039251522binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.808601391015Retained binary64: 0.8086013910151344binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.808601391015Retained binary64: 0.8086013910151344binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.6064150629612906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.60641506296Retained binary64: -1.6064150629612906binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.1913986089848656binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.61720278203Retained binary64: 1.6172027820302688binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.61720278203Retained binary64: -1.6172027820302688binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.61720278203Retained binary64: 1.6172027820302688binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 110 | 110 | 12.3452456534Retained binary64: 12.345245653440388binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.731213431673Retained binary64: 0.7312134316727088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.731213431673Retained binary64: 0.7312134316727088binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.54602090673Retained binary64: -1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.2687865683272912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.46242686335Retained binary64: 1.4624268633454176binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.46242686335Retained binary64: -1.4624268633454176binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.46242686335Retained binary64: 1.4624268633454176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 111 | 111 | 12.3793017678Retained binary64: 12.379301767849514binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.656882090306Retained binary64: 0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.656882090306Retained binary64: 0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.48190225071Retained binary64: -1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.31376418061Retained binary64: -1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 112 | 112 | 12.4097878499Retained binary64: 12.409787849937372binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.585786437627Retained binary64: 0.5857864376269053binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.585786437627Retained binary64: 0.5857864376269053binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.41421356237Retained binary64: -1.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.4142135623730947binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.17157287525Retained binary64: 1.1715728752538106binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.17157287525Retained binary64: -1.1715728752538106binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.17157287525Retained binary64: 1.1715728752538106binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 113 | 113 | 12.4368669677Retained binary64: 12.436866967682993binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.51809774929Retained binary64: 0.5180977492900822binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.51809774929Retained binary64: 0.5180977492900822binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.34311790969Retained binary64: -1.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.03619549858Retained binary64: 1.0361954985801645binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.03619549858Retained binary64: -1.0361954985801645binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.03619549858Retained binary64: 1.0361954985801645binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 114 | 114 | 12.4607103967Retained binary64: 12.460710396740929binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.453979093275Retained binary64: 0.4539790932745269binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.453979093275Retained binary64: 0.4539790932745269binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.2687865683272919binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.26878656833Retained binary64: -1.2687865683272919binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.546020906725473binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.907958186549Retained binary64: 0.9079581865490538binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.907958186549Retained binary64: -0.9079581865490538binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.907958186549Retained binary64: 0.9079581865490538binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 115 | 115 | 12.4814972078Retained binary64: 12.481497207823185binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.393584937039Retained binary64: 0.3935849370387099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.393584937039Retained binary64: 0.3935849370387099binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.19139860898Retained binary64: -1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.60641506296129binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.787169874077Retained binary64: 0.7871698740774198binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.787169874077Retained binary64: -0.7871698740774198binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.787169874077Retained binary64: 0.7871698740774198binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 116 | 116 | 12.4994138353Retained binary64: 12.499413835302205binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.337060775395Retained binary64: 0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.337060775395Retained binary64: 0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.11114046604Retained binary64: -1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.67412155079Retained binary64: -0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 117 | 117 | 12.5146536281Retained binary64: 12.514653628074125binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.284542779999Retained binary64: 0.284542779999456binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.284542779999Retained binary64: 0.284542779999456binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.0282054883864438binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.02820548839Retained binary64: -1.0282054883864438binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.569085559999Retained binary64: 0.569085559998912binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.569085559999Retained binary64: -0.569085559998912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.569085559999Retained binary64: 0.569085559998912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 118 | 118 | 12.5274163838Retained binary64: 12.527416383764358binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.236157471303Retained binary64: 0.23615747130329034binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.236157471303Retained binary64: 0.23615747130329034binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519958binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.942793473652Retained binary64: -0.9427934736519958binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.7638425286967097binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.472314942607Retained binary64: 0.4723149426065807binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.472314942607Retained binary64: -0.4723149426065807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.472314942607Retained binary64: 0.4723149426065807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 119 | 119 | 12.5379078674Retained binary64: 12.537907867397607binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.192021413753Retained binary64: 0.19202141375311377binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.192021413753Retained binary64: 0.19202141375311377binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.8551101868605651binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.855110186861Retained binary64: -0.8551101868605651binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.8079785862468862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.384042827506Retained binary64: 0.38404282750622754binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.384042827506Retained binary64: -0.38404282750622754binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.384042827506Retained binary64: 0.38404282750622754binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 120 | 120 | 12.5463393157Retained binary64: 12.546339315691904binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.152240934977Retained binary64: 0.15224093497742697binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.152240934977Retained binary64: 0.15224093497742697binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.7653668647301808binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.76536686473Retained binary64: -0.7653668647301808binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.847759065022573binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.304481869955Retained binary64: 0.30448186995485393binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.304481869955Retained binary64: -0.30448186995485393binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.304481869955Retained binary64: 0.30448186995485393binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 121 | 121 | 12.5529269282Retained binary64: 12.552926928170846binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.116911869634Retained binary64: 0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.116911869634Retained binary64: 0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.673779706784Retained binary64: -0.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.233823739268Retained binary64: -0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 122 | 122 | 12.5578913463Retained binary64: 12.557891346320012binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0861193285356Retained binary64: 0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0861193285356Retained binary64: 0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.580569354509Retained binary64: -0.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.172238657071Retained binary64: -0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 123 | 123 | 12.561457122Retained binary64: 12.561457122042295binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0599374936109Retained binary64: 0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0599374936109Retained binary64: 0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.48596035980652835binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.485960359807Retained binary64: -0.48596035980652835binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.119874987222Retained binary64: -0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 124 | 124 | 12.5638521767Retained binary64: 12.563852176692706binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0384294391935Retained binary64: 0.03842943919353936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0384294391935Retained binary64: 0.03842943919353936binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.39018064403225744binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.390180644032Retained binary64: -0.39018064403225744binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0768588783871Retained binary64: 0.07685887838707872binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0768588783871Retained binary64: -0.07685887838707872binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0768588783871Retained binary64: 0.07685887838707872binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 125 | 125 | 12.565307252Retained binary64: 12.565307251995854binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0216469800704Retained binary64: 0.021646980070438193binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0216469800704Retained binary64: 0.021646980070438193binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.2934609489107248binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.293460948911Retained binary64: -0.2934609489107248binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0432939601409Retained binary64: 0.043293960140876386binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0432939601409Retained binary64: -0.043293960140876386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0432939601409Retained binary64: 0.043293960140876386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 126 | 126 | 12.5660553542Retained binary64: 12.566055354168933binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00963054665561Retained binary64: 0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00963054665561Retained binary64: 0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.196034280659Retained binary64: -0.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0192610933112Retained binary64: -0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 127 | 127 | 12.5663311926Retained binary64: 12.566331192589328binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00240908758966Retained binary64: 0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00240908758966Retained binary64: 0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.0981353486548Retained binary64: -0.09813534865483618binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00481817517931Retained binary64: -0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 128 | 128 | 12.5663706144Retained binary64: 12.566370614359172binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
All 129 −q₀ crossed-field records (129 rows)
Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
| Row | Common angle-audit index | r/L₀, x component | r/L₀, y component | r/L₀, z component | v/v₀, x component | v/v₀, y component | v/v₀, z component | a/(v₀/t₀), x component | a/(v₀/t₀), y component | a/(v₀/t₀), z component | K/K₀ | Signed qV/K₀ | Electric work/K₀ | (K+qV)/K₀ | Magnetic point-charge power (zero) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 0 | 0Retained binary64: 0.0binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 1 | 1 | 3.9421769845e-05Retained binary64: 3.9421769845005006e-05binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00240908758966Retained binary64: -0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00240908758966Retained binary64: 0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483603binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0981353486548Retained binary64: 0.09813534865483603binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00481817517931Retained binary64: -0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 2 | 2 | 0.000315260190241Retained binary64: 0.0003152601902408625binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00963054665561Retained binary64: -0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00963054665561Retained binary64: 0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.1960342806591212binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.196034280659Retained binary64: 0.1960342806591212binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0192610933112Retained binary64: -0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 3 | 3 | 0.00106336236332Retained binary64: 0.0010633623633196088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0216469800704Retained binary64: -0.02164698007043797binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0216469800704Retained binary64: 0.02164698007043797binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.2934609489107235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.293460948911Retained binary64: 0.2934609489107235binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0432939601409Retained binary64: 0.04329396014087594binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0432939601409Retained binary64: -0.04329396014087594binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0432939601409Retained binary64: 0.04329396014087594binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 4 | 4 | 0.00251843766647Retained binary64: 0.0025184376664676433binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0384294391935Retained binary64: -0.03842943919353914binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0384294391935Retained binary64: 0.03842943919353914binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.3901806440322565binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.390180644032Retained binary64: 0.3901806440322565binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0768588783871Retained binary64: 0.07685887838707828binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0768588783871Retained binary64: -0.07685887838707828binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0768588783871Retained binary64: 0.07685887838707828binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 5 | 5 | 0.00491349231688Retained binary64: 0.0049134923168774325binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0599374936109Retained binary64: -0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0599374936109Retained binary64: 0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.48596035980652774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.485960359807Retained binary64: 0.48596035980652774binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.119874987222Retained binary64: -0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 6 | 6 | 0.00847926803916Retained binary64: 0.008479268039161547binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0861193285356Retained binary64: -0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0861193285356Retained binary64: 0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.5805693545089247binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.580569354509Retained binary64: 0.5805693545089247binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.172238657071Retained binary64: -0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 7 | 7 | 0.0134436861883Retained binary64: 0.013443686188327142binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.116911869634Retained binary64: -0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.116911869634Retained binary64: 0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.6737797067844401binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.673779706784Retained binary64: 0.6737797067844401binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.233823739268Retained binary64: -0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 8 | 8 | 0.0200312986673Retained binary64: 0.020031298667268715binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.152240934977Retained binary64: -0.15224093497742652binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.152240934977Retained binary64: 0.15224093497742652binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.7653668647301796binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.76536686473Retained binary64: 0.7653668647301796binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.304481869955Retained binary64: 0.30448186995485305binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.304481869955Retained binary64: -0.30448186995485305binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.304481869955Retained binary64: 0.30448186995485305binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 9 | 9 | 0.0284627469616Retained binary64: 0.028462746961565144binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.192021413753Retained binary64: -0.19202141375311332binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.192021413753Retained binary64: 0.19202141375311332binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.8551101868605642binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.855110186861Retained binary64: 0.8551101868605642binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.384042827506Retained binary64: 0.38404282750622665binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.384042827506Retained binary64: -0.38404282750622665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.384042827506Retained binary64: 0.38404282750622665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 10 | 10 | 0.0389542305948Retained binary64: 0.038954230594815065binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.236157471303Retained binary64: -0.2361574713032899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.236157471303Retained binary64: 0.2361574713032899binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.942793473652Retained binary64: 0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.472314942607Retained binary64: 0.4723149426065798binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.472314942607Retained binary64: -0.4723149426065798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.472314942607Retained binary64: 0.4723149426065798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 11 | 11 | 0.051716986285Retained binary64: 0.05171698628504795binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.284542779999Retained binary64: -0.28454277999945576binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.284542779999Retained binary64: 0.28454277999945576binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.0282054883864433binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.02820548839Retained binary64: 1.0282054883864433binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.569085559999Retained binary64: 0.5690855599989115binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.569085559999Retained binary64: -0.5690855599989115binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.569085559999Retained binary64: 0.5690855599989115binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 12 | 12 | 0.066956779057Retained binary64: 0.06695677905696806binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.337060775395Retained binary64: -0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.337060775395Retained binary64: 0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.67412155079Retained binary64: -0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 13 | 13 | 0.084873406536Retained binary64: 0.08487340653598685binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.393584937039Retained binary64: -0.3935849370387101binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.393584937039Retained binary64: 0.3935849370387101binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.1913986089848667binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.19139860898Retained binary64: 1.1913986089848667binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.787169874077Retained binary64: 0.7871698740774202binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.787169874077Retained binary64: -0.7871698740774202binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.787169874077Retained binary64: 0.7871698740774202binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 14 | 14 | 0.105660217618Retained binary64: 0.10566021761824351binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.453979093275Retained binary64: -0.453979093274526binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.453979093275Retained binary64: 0.453979093274526binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.26878656833Retained binary64: 1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.907958186549Retained binary64: 0.907958186549052binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.907958186549Retained binary64: -0.907958186549052binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.907958186549Retained binary64: 0.907958186549052binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 15 | 15 | 0.129503646676Retained binary64: 0.12950364667617875binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.51809774929Retained binary64: -0.5180977492900816binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.51809774929Retained binary64: 0.5180977492900816binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.34311790969Retained binary64: 1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.4819022507099184binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.03619549858Retained binary64: 1.0361954985801631binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.03619549858Retained binary64: -1.0361954985801631binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.03619549858Retained binary64: 1.0361954985801631binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 16 | 16 | 0.156582764422Retained binary64: 0.1565827644218014binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585786437627Retained binary64: -0.5857864376269049binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.585786437627Retained binary64: 0.5857864376269049binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41421356237Retained binary64: 1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.17157287525Retained binary64: 1.1715728752538097binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.17157287525Retained binary64: -1.1715728752538097binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.17157287525Retained binary64: 1.1715728752538097binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 17 | 17 | 0.18706884651Retained binary64: 0.1870688465096595binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.656882090306Retained binary64: -0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.656882090306Retained binary64: 0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.48190225071Retained binary64: 1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.31376418061Retained binary64: -1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 18 | 18 | 0.221124960919Retained binary64: 0.22112496091878486binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.731213431673Retained binary64: -0.731213431672709binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.731213431673Retained binary64: 0.731213431672709binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.54602090673Retained binary64: 1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.46242686335Retained binary64: 1.462426863345418binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.46242686335Retained binary64: -1.462426863345418binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.46242686335Retained binary64: 1.462426863345418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 19 | 19 | 0.258905575108Retained binary64: 0.2589055751076499binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.808601391015Retained binary64: -0.8086013910151331binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.808601391015Retained binary64: 0.8086013910151331binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60641506296Retained binary64: 1.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.191398608984867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.61720278203Retained binary64: 1.6172027820302661binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.61720278203Retained binary64: -1.6172027820302661binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.61720278203Retained binary64: 1.6172027820302661binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 20 | 20 | 0.300556183889Retained binary64: 0.3005561838885302binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.888859533961Retained binary64: -0.8888595339607954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.888859533961Retained binary64: 0.8888595339607954binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.66293922461Retained binary64: 1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.1111404660392046binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.77771906792Retained binary64: 1.7777190679215908binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.77771906792Retained binary64: -1.7777190679215908binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.77771906792Retained binary64: 1.7777190679215908binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 21 | 21 | 0.346212958918Retained binary64: 0.3462129589177576binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.971794511614Retained binary64: -0.9717945116135567binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.971794511614Retained binary64: 0.9717945116135567binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.0282054883864433binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94358902323Retained binary64: 1.9435890232271134binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94358902323Retained binary64: -1.9435890232271134binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94358902323Retained binary64: 1.9435890232271134binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 22 | 22 | 0.396002420646Retained binary64: 0.39600242064627267binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.05720652635Retained binary64: -1.0572065263480044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.05720652635Retained binary64: 1.0572065263480044binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.7638425287Retained binary64: 1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519956binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.1144130527Retained binary64: 2.1144130526960088binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.1144130527Retained binary64: -2.1144130526960088binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.1144130527Retained binary64: 2.1144130526960088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 23 | 23 | 0.450041133521Retained binary64: 0.450041133520777binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.14488981314Retained binary64: -1.1448898131394356binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.14488981314Retained binary64: 1.1448898131394356binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80797858625Retained binary64: 1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.8551101868605644binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.28977962628Retained binary64: 2.289779626278871binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.28977962628Retained binary64: -2.289779626278871binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.28977962628Retained binary64: 2.289779626278871binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 24 | 24 | 0.50843542517Retained binary64: 0.5084354251697714binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.23463313527Retained binary64: -1.2346331352698203binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.23463313527Retained binary64: 1.2346331352698203binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.7653668647301797binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.46926627054Retained binary64: 2.4692662705396407binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.46926627054Retained binary64: -2.4692662705396407binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.46926627054Retained binary64: 2.4692662705396407binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 25 | 25 | 0.571281130251Retained binary64: 0.5712811302509844binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.32622029322Retained binary64: -1.32622029321556binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.32622029322Retained binary64: 1.32622029321556binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.6737797067844401binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.65244058643Retained binary64: 2.65244058643112binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.65244058643Retained binary64: -2.65244058643112binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.65244058643Retained binary64: 2.65244058643112binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 26 | 26 | 0.638663359577Retained binary64: 0.6386633595772893binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41943064549Retained binary64: -1.4194306454910754binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41943064549Retained binary64: 1.4194306454910754binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.5805693545089247binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.83886129098Retained binary64: 2.838861290982151binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.83886129098Retained binary64: -2.838861290982151binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.83886129098Retained binary64: 2.838861290982151binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 27 | 27 | 0.710656295077Retained binary64: 0.7106562950772999binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.51403964019Retained binary64: -1.514039640193472binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.51403964019Retained binary64: 1.514039640193472binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.48596035980652796binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02807928039Retained binary64: 3.028079280386944binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.02807928039Retained binary64: -3.028079280386944binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.02807928039Retained binary64: 3.028079280386944binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 28 | 28 | 0.787323011085Retained binary64: 0.7873230110846081binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60981935597Retained binary64: -1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60981935597Retained binary64: 1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.39018064403225666binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.21963871194Retained binary64: -3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 29 | 29 | 0.868715322386Retained binary64: 0.8687153223861881binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.70653905109Retained binary64: -1.7065390510892766binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.70653905109Retained binary64: 1.7065390510892766binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.2934609489107235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41307810218Retained binary64: 3.4130781021785532binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.41307810218Retained binary64: -3.4130781021785532binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.41307810218Retained binary64: 3.4130781021785532binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 30 | 30 | 0.954873659396Retained binary64: 0.9548736593960372binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80396571934Retained binary64: -1.8039657193408785binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80396571934Retained binary64: 1.8039657193408785binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99036945334Retained binary64: 1.9903694533443936binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.19603428065912154binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60793143868Retained binary64: 3.607931438681757binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.60793143868Retained binary64: -3.607931438681757binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.60793143868Retained binary64: 3.607931438681757binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 31 | 31 | 1.04582697075Retained binary64: 1.0458269707547672binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90186465135Retained binary64: -1.9018646513451638binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.90186465135Retained binary64: 1.9018646513451638binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483625binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80372930269Retained binary64: 3.8037293026903276binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.80372930269Retained binary64: -3.8037293026903276binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.80372930269Retained binary64: 3.8037293026903276binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 32 | 32 | 1.14159265359Retained binary64: 1.1415926535897931binary64; 12 significant-digit display; only exact zero sign canonicalized | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | -4Exact fraction: -4Retained binary64: -4.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 33 | 33 | 1.2421765116Retained binary64: 1.2421765116041295binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.09813534865Retained binary64: -2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.09813534865Retained binary64: 2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483602binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.19627069731Retained binary64: -4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 34 | 34 | 1.34757274109Retained binary64: 1.3475727410947616binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.19603428066Retained binary64: -2.1960342806591213binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.19603428066Retained binary64: 2.1960342806591213binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.1960342806591213binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.39206856132Retained binary64: 4.392068561318243binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.39206856132Retained binary64: -4.392068561318243binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.39206856132Retained binary64: 4.392068561318243binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 35 | 35 | 1.45776394493Retained binary64: 1.457763944934274binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.29346094891Retained binary64: -2.2934609489107234binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.29346094891Retained binary64: 2.2934609489107234binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.2934609489107233binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.58692189782Retained binary64: 4.586921897821447binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.58692189782Retained binary64: -4.586921897821447binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.58692189782Retained binary64: 4.586921897821447binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 36 | 36 | 1.57272117448Retained binary64: 1.5727211744820564binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.39018064403Retained binary64: -2.3901806440322564binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.39018064403Retained binary64: 2.3901806440322564binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.3901806440322564binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.78036128806Retained binary64: 4.780361288064513binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.78036128806Retained binary64: -4.780361288064513binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.78036128806Retained binary64: 4.780361288064513binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 37 | 37 | 1.69240399932Retained binary64: 1.6924039993241105binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.48596035981Retained binary64: -2.4859603598065276binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.48596035981Retained binary64: 2.4859603598065276binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.48596035980652774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.97192071961Retained binary64: 4.971920719613055binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.97192071961Retained binary64: -4.971920719613055binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.97192071961Retained binary64: 4.971920719613055binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 38 | 38 | 1.81676060467Retained binary64: 1.8167606046734612binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.58056935451Retained binary64: -2.580569354508924binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.58056935451Retained binary64: 2.580569354508924binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.5805693545089243binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.16113870902Retained binary64: 5.161138709017848binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.16113870902Retained binary64: -5.161138709017848binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.16113870902Retained binary64: 5.161138709017848binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 39 | 39 | 1.9457279162Retained binary64: 1.9457279161965186binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.67377970678Retained binary64: -2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.67377970678Retained binary64: 2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.6737797067844399binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.34755941357Retained binary64: -5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 40 | 40 | 2.07923175196Retained binary64: 2.079231751964668binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.76536686473Retained binary64: -2.7653668647301792binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.76536686473Retained binary64: 2.7653668647301792binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.7653668647301795binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.53073372946Retained binary64: 5.5307337294603585binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.53073372946Retained binary64: -5.5307337294603585binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.53073372946Retained binary64: 5.5307337294603585binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 41 | 41 | 2.21718700117Retained binary64: 2.217187001165035binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.85511018686Retained binary64: -2.8551101868605637binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.85511018686Retained binary64: 2.8551101868605637binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80797858625Retained binary64: 1.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.8551101868605637binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.71022037372Retained binary64: 5.7102203737211275binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.71022037372Retained binary64: -5.7102203737211275binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.71022037372Retained binary64: 5.7102203737211275binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 42 | 42 | 2.35949782914Retained binary64: 2.359497829139894binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94279347365Retained binary64: -2.9427934736519954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.94279347365Retained binary64: 2.9427934736519954binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.7638425287Retained binary64: 1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.8855869473Retained binary64: 5.885586947303991binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.8855869473Retained binary64: -5.885586947303991binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.8855869473Retained binary64: 5.885586947303991binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 43 | 43 | 2.50605790826Retained binary64: 2.50605790826074binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.02820548839Retained binary64: -3.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02820548839Retained binary64: 3.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.05641097677Retained binary64: 6.056410976772886binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.05641097677Retained binary64: -6.056410976772886binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.05641097677Retained binary64: 6.056410976772886binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 44 | 44 | 2.65675067408Retained binary64: 2.6567506740808744binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.11114046604Retained binary64: -3.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.11114046604Retained binary64: 3.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.66293922461Retained binary64: 1.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.22228093208Retained binary64: 6.222280932078408binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.22228093208Retained binary64: -6.222280932078408binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.22228093208Retained binary64: 6.222280932078408binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 45 | 45 | 2.81144960615Retained binary64: 2.811449606149357binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.19139860898Retained binary64: -3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.19139860898Retained binary64: 3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60641506296Retained binary64: 1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.1913986089848667binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.38279721797Retained binary64: -6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 46 | 46 | 2.97001853281Retained binary64: 2.970018532809853binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.26878656833Retained binary64: -3.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.26878656833Retained binary64: 3.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.5460209067254742binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.54602090673Retained binary64: 1.5460209067254742binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.2687865683272908binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.53757313665Retained binary64: 6.537573136654581binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.53757313665Retained binary64: -6.537573136654581binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.53757313665Retained binary64: 6.537573136654581binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 47 | 47 | 3.13231195925Retained binary64: 3.132311959250091binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.34311790969Retained binary64: -3.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.34311790969Retained binary64: 3.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.481902250709918binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.48190225071Retained binary64: 1.481902250709918binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.3431179096940369binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.68623581939Retained binary64: 6.686235819388074binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.68623581939Retained binary64: -6.686235819388074binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.68623581939Retained binary64: 6.686235819388074binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 48 | 48 | 3.29817541801Retained binary64: 3.2981754180115948binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.41421356237Retained binary64: -3.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41421356237Retained binary64: 3.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41421356237Retained binary64: 1.4142135623730951binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.82842712475Retained binary64: 6.82842712474619binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.82842712475Retained binary64: -6.82842712474619binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.82842712475Retained binary64: 6.82842712474619binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 49 | 49 | 3.46744584112Retained binary64: 3.4674458411153335binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.48190225071Retained binary64: -3.4819022507099175binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.48190225071Retained binary64: 3.4819022507099175binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.34311790969Retained binary64: 1.343117909694037binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.96380450142Retained binary64: 6.963804501419835binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.96380450142Retained binary64: -6.963804501419835binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.96380450142Retained binary64: 6.963804501419835binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 50 | 50 | 3.63995195291Retained binary64: 3.639951952906761binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.54602090673Retained binary64: -3.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.54602090673Retained binary64: 3.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.26878656833Retained binary64: 1.268786568327291binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.09204181345Retained binary64: 7.0920418134509475binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.09204181345Retained binary64: -7.0920418134509475binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.09204181345Retained binary64: 7.0920418134509475binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 51 | 51 | 3.81551468267Retained binary64: 3.8155146826738657binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.60641506296Retained binary64: -3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60641506296Retained binary64: 3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.191398608984867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.19139860898Retained binary64: 1.191398608984867binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.21283012592Retained binary64: -7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 52 | 52 | 3.99394759604Retained binary64: 3.99394759604421binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.66293922461Retained binary64: -3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.66293922461Retained binary64: 3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.32587844921Retained binary64: -7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 53 | 53 | 4.17505734412Retained binary64: 4.175057344121651binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.71545722Retained binary64: -3.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.71545722Retained binary64: 3.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.02820548839Retained binary64: 1.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.43091444Retained binary64: 7.430914440001088binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.43091444Retained binary64: -7.430914440001088binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.43091444Retained binary64: 7.430914440001088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 54 | 54 | 4.35864412928Retained binary64: 4.35864412928078binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.7638425287Retained binary64: -3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.7638425287Retained binary64: 3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519956binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.942793473652Retained binary64: 0.9427934736519956binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.52768505739Retained binary64: -7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 55 | 55 | 4.5445021865Retained binary64: 4.544502186496893binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.80797858625Retained binary64: -3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80797858625Retained binary64: 3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.8551101868605641binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.855110186861Retained binary64: 0.8551101868605641binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.61595717249Retained binary64: -7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 56 | 56 | 4.73242027905Retained binary64: 4.732420279051958binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.84775906502Retained binary64: -3.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.84775906502Retained binary64: 3.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.7653668647301798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.76536686473Retained binary64: 0.7653668647301798binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.8477590650225735binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.69551813005Retained binary64: 7.695518130045147binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.69551813005Retained binary64: -7.695518130045147binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.69551813005Retained binary64: 7.695518130045147binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 57 | 57 | 4.92218220742Retained binary64: 4.922182207422378binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.88308813037Retained binary64: -3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.88308813037Retained binary64: 3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.6737797067844407binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.673779706784Retained binary64: 0.6737797067844407binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.76617626073Retained binary64: -7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 58 | 58 | 5.11356733012Retained binary64: 5.113567330122575binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.91388067146Retained binary64: -3.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.91388067146Retained binary64: 3.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.5805693545089248binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.580569354509Retained binary64: 0.5805693545089248binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.82776134293Retained binary64: 7.827761342928835binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.82776134293Retained binary64: -7.827761342928835binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.82776134293Retained binary64: 7.827761342928835binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 59 | 59 | 5.30635109525Retained binary64: 5.306351095249653binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.94006250639Retained binary64: -3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.94006250639Retained binary64: 3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.48596035980652813binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.485960359807Retained binary64: 0.48596035980652813binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.88012501278Retained binary64: -7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 60 | 60 | 5.50030558145Retained binary64: 5.500305581448605binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.96157056081Retained binary64: -3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.96157056081Retained binary64: 3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.3901806440322572binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.390180644032Retained binary64: 0.3901806440322572binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.92314112161Retained binary64: -7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 61 | 61 | 5.69520004699Retained binary64: 5.695200046994819binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.97835301993Retained binary64: -3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.97835301993Retained binary64: 3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.2934609489107236binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.293460948911Retained binary64: 0.2934609489107236binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.95670603986Retained binary64: -7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 62 | 62 | 5.89080148567Retained binary64: 5.890801485671102binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.99036945334Retained binary64: -3.9903694533443934binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99036945334Retained binary64: 3.9903694533443934binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.19603428065912165binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.196034280659Retained binary64: 0.19603428065912165binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.98073890669Retained binary64: 7.980738906688787binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.98073890669Retained binary64: -7.980738906688787binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.98073890669Retained binary64: 7.980738906688787binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 63 | 63 | 6.0868751881Retained binary64: 6.08687518810007binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.99759091241Retained binary64: -3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99759091241Retained binary64: 3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483593binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0981353486548Retained binary64: 0.09813534865483593binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.99518182482Retained binary64: -7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 64 | 64 | 6.28318530718Retained binary64: 6.283185307179586binary64; 12 significant-digit display; only exact zero sign canonicalized | -4Exact fraction: -4Retained binary64: -4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 8Exact fraction: 8Retained binary64: 8.0 | -8Exact fraction: -8Retained binary64: -8.0 | 8Exact fraction: 8Retained binary64: 8.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 65 | 65 | 6.47949542626Retained binary64: 6.479495426259103binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.99759091241Retained binary64: -3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99759091241Retained binary64: 3.997590912410345binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483545binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.0981353486548Retained binary64: -0.09813534865483545binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.99518182482Retained binary64: -7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.99518182482Retained binary64: 7.99518182482069binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 66 | 66 | 6.67556912869Retained binary64: 6.675569128688069binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.99036945334Retained binary64: -3.990369453344394binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.99036945334Retained binary64: 3.990369453344394binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.19603428065912118binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.196034280659Retained binary64: -0.19603428065912118binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.98073890669Retained binary64: 7.980738906688788binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.98073890669Retained binary64: -7.980738906688788binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.98073890669Retained binary64: 7.980738906688788binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 67 | 67 | 6.87117056736Retained binary64: 6.871170567364352binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.97835301993Retained binary64: -3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.97835301993Retained binary64: 3.9783530199295623binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.29346094891072316binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.293460948911Retained binary64: -0.29346094891072316binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.978353019929562binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.95670603986Retained binary64: -7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.95670603986Retained binary64: 7.9567060398591245binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 68 | 68 | 7.06606503291Retained binary64: 7.066065032910568binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.96157056081Retained binary64: -3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.96157056081Retained binary64: 3.961570560806461binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.3901806440322567binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.390180644032Retained binary64: -0.3901806440322567binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.92314112161Retained binary64: -7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.92314112161Retained binary64: 7.923141121612922binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 69 | 69 | 7.26001951911Retained binary64: 7.26001951910952binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.94006250639Retained binary64: -3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.94006250639Retained binary64: 3.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.48596035980652763binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.485960359807Retained binary64: -0.48596035980652763binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.88012501278Retained binary64: -7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.88012501278Retained binary64: 7.880125012778176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 70 | 70 | 7.45280328424Retained binary64: 7.452803284236596binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.91388067146Retained binary64: -3.913880671464418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.91388067146Retained binary64: 3.913880671464418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.5805693545089242binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.580569354509Retained binary64: -0.5805693545089242binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.82776134293Retained binary64: 7.827761342928836binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.82776134293Retained binary64: -7.827761342928836binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.82776134293Retained binary64: 7.827761342928836binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 71 | 71 | 7.64418840694Retained binary64: 7.644188406936794binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.88308813037Retained binary64: -3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.88308813037Retained binary64: 3.8830881303660414binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.6737797067844402binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.673779706784Retained binary64: -0.6737797067844402binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.76617626073Retained binary64: -7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.76617626073Retained binary64: 7.766176260732083binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 72 | 72 | 7.83395033531Retained binary64: 7.833950335307214binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.84775906502Retained binary64: -3.847759065022574binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.84775906502Retained binary64: 3.847759065022574binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.7653668647301793binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.76536686473Retained binary64: -0.7653668647301793binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.8477590650225737binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.69551813005Retained binary64: 7.695518130045148binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.69551813005Retained binary64: -7.695518130045148binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.69551813005Retained binary64: 7.695518130045148binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 73 | 73 | 8.02186842786Retained binary64: 8.021868427862278binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.80797858625Retained binary64: -3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80797858625Retained binary64: 3.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.8551101868605636binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.855110186861Retained binary64: -0.8551101868605636binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.807978586246887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.61595717249Retained binary64: -7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.61595717249Retained binary64: 7.615957172493774binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 74 | 74 | 8.20772648508Retained binary64: 8.207726485078393binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.7638425287Retained binary64: -3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.7638425287Retained binary64: 3.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.942793473652Retained binary64: -0.9427934736519953binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.52768505739Retained binary64: -7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.52768505739Retained binary64: 7.52768505739342binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 75 | 75 | 8.39131327024Retained binary64: 8.391313270237521binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.71545722Retained binary64: -3.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.71545722Retained binary64: 3.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.02820548839Retained binary64: -1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.7154572200005442binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.43091444Retained binary64: 7.4309144400010885binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.43091444Retained binary64: -7.4309144400010885binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.43091444Retained binary64: 7.4309144400010885binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 76 | 76 | 8.57242301831Retained binary64: 8.572423018314963binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.66293922461Retained binary64: -3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.66293922461Retained binary64: 3.6629392246050907binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.11114046604Retained binary64: -1.111140466039204binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.662939224605091binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.32587844921Retained binary64: -7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.32587844921Retained binary64: 7.325878449210181binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 77 | 77 | 8.75085593169Retained binary64: 8.750855931685306binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.60641506296Retained binary64: -3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60641506296Retained binary64: 3.6064150629612897binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.19139860898Retained binary64: -1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.6064150629612899binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.21283012592Retained binary64: -7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.21283012592Retained binary64: 7.212830125922579binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 78 | 78 | 8.92641866145Retained binary64: 8.926418661452411binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.54602090673Retained binary64: -3.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.54602090673Retained binary64: 3.546020906725474binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.26878656833Retained binary64: -1.2687865683272905binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.5460209067254742binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 7.09204181345Retained binary64: 7.092041813450948binary64; 12 significant-digit display; only exact zero sign canonicalized | -7.09204181345Retained binary64: -7.092041813450948binary64; 12 significant-digit display; only exact zero sign canonicalized | 7.09204181345Retained binary64: 7.092041813450948binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 79 | 79 | 9.09892477324Retained binary64: 9.098924773243839binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.48190225071Retained binary64: -3.4819022507099184binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.48190225071Retained binary64: 3.4819022507099184binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.3431179096940369binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.34311790969Retained binary64: -1.3431179096940369binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.96380450142Retained binary64: 6.963804501419837binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.96380450142Retained binary64: -6.963804501419837binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.96380450142Retained binary64: 6.963804501419837binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 80 | 80 | 9.26819519635Retained binary64: 9.268195196347577binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.41421356237Retained binary64: -3.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41421356237Retained binary64: 3.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.41421356237Retained binary64: -1.414213562373095binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.82842712475Retained binary64: 6.828427124746191binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.82842712475Retained binary64: -6.828427124746191binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.82842712475Retained binary64: 6.828427124746191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 81 | 81 | 9.43405865511Retained binary64: 9.434058655109082binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.34311790969Retained binary64: -3.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.34311790969Retained binary64: 3.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.48190225071Retained binary64: -1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.68623581939Retained binary64: 6.686235819388075binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.68623581939Retained binary64: -6.686235819388075binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.68623581939Retained binary64: 6.686235819388075binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 82 | 82 | 9.59635208155Retained binary64: 9.596352081549318binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.26878656833Retained binary64: -3.268786568327292binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.26878656833Retained binary64: 3.268786568327292binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.5460209067254733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.54602090673Retained binary64: -1.5460209067254733binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.2687865683272919binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.53757313665Retained binary64: 6.537573136654584binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.53757313665Retained binary64: -6.537573136654584binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.53757313665Retained binary64: 6.537573136654584binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 83 | 83 | 9.75492100821Retained binary64: 9.754921008209816binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.19139860898Retained binary64: -3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.19139860898Retained binary64: 3.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.60641506296129binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.60641506296Retained binary64: -1.60641506296129binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.1913986089848663binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.38279721797Retained binary64: -6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.38279721797Retained binary64: 6.382797217969733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 84 | 84 | 9.90961994028Retained binary64: 9.909619940278297binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.11114046604Retained binary64: -3.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.11114046604Retained binary64: 3.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.66293922461Retained binary64: -1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.22228093208Retained binary64: 6.222280932078409binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.22228093208Retained binary64: -6.222280932078409binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.22228093208Retained binary64: 6.222280932078409binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 85 | 85 | 10.0603127061Retained binary64: 10.060312706098433binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.02820548839Retained binary64: -3.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02820548839Retained binary64: 3.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.71545722Retained binary64: -1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.0282054883864435binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 6.05641097677Retained binary64: 6.056410976772887binary64; 12 significant-digit display; only exact zero sign canonicalized | -6.05641097677Retained binary64: -6.056410976772887binary64; 12 significant-digit display; only exact zero sign canonicalized | 6.05641097677Retained binary64: 6.056410976772887binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 86 | 86 | 10.2068727852Retained binary64: 10.206872785219279binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.94279347365Retained binary64: -2.942793473651996binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.94279347365Retained binary64: 2.942793473651996binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.7638425287Retained binary64: -1.7638425286967099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519957binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.8855869473Retained binary64: 5.885586947303992binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.8855869473Retained binary64: -5.885586947303992binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.8855869473Retained binary64: 5.885586947303992binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 87 | 87 | 10.3491836132Retained binary64: 10.349183613194135binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.85511018686Retained binary64: -2.855110186860565binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.85511018686Retained binary64: 2.855110186860565binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.8079785862468862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.80797858625Retained binary64: -1.8079785862468862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.855110186860565binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.71022037372Retained binary64: 5.71022037372113binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.71022037372Retained binary64: -5.71022037372113binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.71022037372Retained binary64: 5.71022037372113binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 88 | 88 | 10.4871388624Retained binary64: 10.487138862394502binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.76536686473Retained binary64: -2.7653668647301806binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.76536686473Retained binary64: 2.7653668647301806binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.847759065022573binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.84775906502Retained binary64: -1.847759065022573binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.7653668647301807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.53073372946Retained binary64: 5.530733729460361binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.53073372946Retained binary64: -5.530733729460361binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.53073372946Retained binary64: 5.530733729460361binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 89 | 89 | 10.6206426982Retained binary64: 10.620642698162655binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.67377970678Retained binary64: -2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.67377970678Retained binary64: 2.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.6737797067844399binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.34755941357Retained binary64: -5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.34755941357Retained binary64: 5.34755941356888binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 90 | 90 | 10.7496100097Retained binary64: 10.74961000968571binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.58056935451Retained binary64: -2.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.58056935451Retained binary64: 2.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.91388067146Retained binary64: -1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.5805693545089249binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 5.16113870902Retained binary64: 5.16113870901785binary64; 12 significant-digit display; only exact zero sign canonicalized | -5.16113870902Retained binary64: -5.16113870901785binary64; 12 significant-digit display; only exact zero sign canonicalized | 5.16113870902Retained binary64: 5.16113870901785binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 91 | 91 | 10.873966615Retained binary64: 10.873966615035062binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.48596035981Retained binary64: -2.485960359806528binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.48596035981Retained binary64: 2.485960359806528binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.48596035980652824binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.97192071961Retained binary64: 4.971920719613056binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.97192071961Retained binary64: -4.971920719613056binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.97192071961Retained binary64: 4.971920719613056binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 92 | 92 | 10.9936494399Retained binary64: 10.993649439877116binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.39018064403Retained binary64: -2.3901806440322573binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.39018064403Retained binary64: 2.3901806440322573binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.96157056081Retained binary64: -1.9615705608064606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.39018064403225733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.78036128806Retained binary64: 4.7803612880645145binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.78036128806Retained binary64: -4.7803612880645145binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.78036128806Retained binary64: 4.7803612880645145binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 93 | 93 | 11.1086066694Retained binary64: 11.108606669424898binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.29346094891Retained binary64: -2.2934609489107247binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.29346094891Retained binary64: 2.2934609489107247binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.97835301993Retained binary64: -1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.2934609489107246binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.58692189782Retained binary64: 4.586921897821449binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.58692189782Retained binary64: -4.586921897821449binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.58692189782Retained binary64: 4.586921897821449binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 94 | 94 | 11.2187978733Retained binary64: 11.218797873264412binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.19603428066Retained binary64: -2.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.19603428066Retained binary64: 2.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.1960342806591209binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.39206856132Retained binary64: 4.392068561318242binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.39206856132Retained binary64: -4.392068561318242binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.39206856132Retained binary64: 4.392068561318242binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 95 | 95 | 11.3241941028Retained binary64: 11.324194102755044binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.09813534865Retained binary64: -2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.09813534865Retained binary64: 2.098135348654836binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | -4.19627069731Retained binary64: -4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 4.19627069731Retained binary64: 4.196270697309672binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 96 | 96 | 11.4247779608Retained binary64: 11.42477796076938binary64; 12 significant-digit display; only exact zero sign canonicalized | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | -4Exact fraction: -4Retained binary64: -4.0 | 4Exact fraction: 4Retained binary64: 4.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 97 | 97 | 11.5205436436Retained binary64: 11.520543643604405binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.90186465135Retained binary64: -1.9018646513451647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.90186465135Retained binary64: 1.9018646513451647binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99759091241Retained binary64: 1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0981353486548Retained binary64: -0.09813534865483532binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.80372930269Retained binary64: 3.8037293026903294binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.80372930269Retained binary64: -3.8037293026903294binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.80372930269Retained binary64: 3.8037293026903294binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 98 | 98 | 11.611496955Retained binary64: 11.611496954963135binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80396571934Retained binary64: -1.8039657193408798binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.80396571934Retained binary64: 1.8039657193408798binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.99036945334Retained binary64: 1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.196034280659Retained binary64: -0.19603428065912018binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.60793143868Retained binary64: 3.6079314386817596binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.60793143868Retained binary64: -3.6079314386817596binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.60793143868Retained binary64: 3.6079314386817596binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 99 | 99 | 11.697655292Retained binary64: 11.697655291972985binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.70653905109Retained binary64: -1.7065390510892762binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.70653905109Retained binary64: 1.7065390510892762binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.97835301993Retained binary64: 1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.97835301993Retained binary64: -1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.293460948911Retained binary64: -0.2934609489107239binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.41307810218Retained binary64: 3.4130781021785523binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.41307810218Retained binary64: -3.4130781021785523binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.41307810218Retained binary64: 3.4130781021785523binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 100 | 100 | 11.7790476033Retained binary64: 11.779047603274565binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60981935597Retained binary64: -1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.60981935597Retained binary64: 1.6098193559677434binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.96157056081Retained binary64: 1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.96157056081Retained binary64: -1.9615705608064609binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.390180644032Retained binary64: -0.3901806440322566binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.21963871194Retained binary64: -3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.21963871194Retained binary64: 3.219638711935487binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 101 | 101 | 11.8557143193Retained binary64: 11.855714319281873binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.51403964019Retained binary64: -1.5140396401934724binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.51403964019Retained binary64: 1.5140396401934724binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94006250639Retained binary64: 1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.485960359807Retained binary64: -0.4859603598065275binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 3.02807928039Retained binary64: 3.0280792803869447binary64; 12 significant-digit display; only exact zero sign canonicalized | -3.02807928039Retained binary64: -3.0280792803869447binary64; 12 significant-digit display; only exact zero sign canonicalized | 3.02807928039Retained binary64: 3.0280792803869447binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 102 | 102 | 11.9277072548Retained binary64: 11.927707254781883binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41943064549Retained binary64: -1.419430645491076binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.41943064549Retained binary64: 1.419430645491076binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.91388067146Retained binary64: 1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.91388067146Retained binary64: -1.9138806714644179binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.580569354509Retained binary64: -0.5805693545089241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.83886129098Retained binary64: 2.838861290982152binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.83886129098Retained binary64: -2.838861290982152binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.83886129098Retained binary64: 2.838861290982152binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 103 | 103 | 11.9950894841Retained binary64: 11.995089484108188binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.32622029322Retained binary64: -1.326220293215561binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.32622029322Retained binary64: 1.326220293215561binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.88308813037Retained binary64: 1.8830881303660418binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.88308813037Retained binary64: -1.8830881303660418binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.673779706784Retained binary64: -0.6737797067844392binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.65244058643Retained binary64: 2.652440586431122binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.65244058643Retained binary64: -2.652440586431122binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.65244058643Retained binary64: 2.652440586431122binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 104 | 104 | 12.0579351892Retained binary64: 12.057935189189402binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.23463313527Retained binary64: -1.2346331352698199binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.23463313527Retained binary64: 1.2346331352698199binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.84775906502Retained binary64: 1.8477590650225733binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.84775906502Retained binary64: -1.8477590650225733binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.76536686473Retained binary64: -0.76536686473018binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.46926627054Retained binary64: 2.4692662705396398binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.46926627054Retained binary64: -2.4692662705396398binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.46926627054Retained binary64: 2.4692662705396398binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 105 | 105 | 12.1163294808Retained binary64: 12.116329480838395binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.14488981314Retained binary64: -1.1448898131394358binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.14488981314Retained binary64: 1.1448898131394358binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.80797858625Retained binary64: 1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.80797858625Retained binary64: -1.8079785862468867binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.855110186861Retained binary64: -0.8551101868605643binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.28977962628Retained binary64: 2.2897796262788717binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.28977962628Retained binary64: -2.2897796262788717binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.28977962628Retained binary64: 2.2897796262788717binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 106 | 106 | 12.1703681937Retained binary64: 12.1703681937129binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.05720652635Retained binary64: -1.0572065263480048binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.05720652635Retained binary64: 1.0572065263480048binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.7638425287Retained binary64: 1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.7638425287Retained binary64: -1.76384252869671binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.942793473652Retained binary64: -0.9427934736519952binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 2.1144130527Retained binary64: 2.1144130526960097binary64; 12 significant-digit display; only exact zero sign canonicalized | -2.1144130527Retained binary64: -2.1144130526960097binary64; 12 significant-digit display; only exact zero sign canonicalized | 2.1144130527Retained binary64: 2.1144130526960097binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 107 | 107 | 12.2201576554Retained binary64: 12.220157655441415binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.971794511614Retained binary64: -0.9717945116135569binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.971794511614Retained binary64: 0.9717945116135569binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.71545722Retained binary64: 1.7154572200005445binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.71545722Retained binary64: -1.7154572200005445binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.02820548839Retained binary64: -1.028205488386443binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.94358902323Retained binary64: 1.9435890232271138binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94358902323Retained binary64: -1.9435890232271138binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.94358902323Retained binary64: 1.9435890232271138binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 108 | 108 | 12.2658144305Retained binary64: 12.265814430470643binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.888859533961Retained binary64: -0.8888595339607963binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.888859533961Retained binary64: 0.8888595339607963binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.66293922461Retained binary64: 1.662939224605091binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.66293922461Retained binary64: -1.662939224605091binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.11114046604Retained binary64: -1.1111404660392037binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.77771906792Retained binary64: 1.7777190679215926binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.77771906792Retained binary64: -1.7777190679215926binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.77771906792Retained binary64: 1.7777190679215926binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 109 | 109 | 12.3074650393Retained binary64: 12.307465039251522binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.808601391015Retained binary64: -0.8086013910151344binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.808601391015Retained binary64: 0.8086013910151344binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.60641506296Retained binary64: 1.6064150629612906binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.60641506296Retained binary64: -1.6064150629612906binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.19139860898Retained binary64: -1.1913986089848656binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.61720278203Retained binary64: 1.6172027820302688binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.61720278203Retained binary64: -1.6172027820302688binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.61720278203Retained binary64: 1.6172027820302688binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 110 | 110 | 12.3452456534Retained binary64: 12.345245653440388binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.731213431673Retained binary64: -0.7312134316727088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.731213431673Retained binary64: 0.7312134316727088binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.54602090673Retained binary64: 1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.54602090673Retained binary64: -1.5460209067254738binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.26878656833Retained binary64: -1.2687865683272912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.46242686335Retained binary64: 1.4624268633454176binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.46242686335Retained binary64: -1.4624268633454176binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.46242686335Retained binary64: 1.4624268633454176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 111 | 111 | 12.3793017678Retained binary64: 12.379301767849514binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.656882090306Retained binary64: -0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.656882090306Retained binary64: 0.6568820903059633binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.48190225071Retained binary64: 1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.48190225071Retained binary64: -1.4819022507099182binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.34311790969Retained binary64: -1.3431179096940367binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.31376418061Retained binary64: -1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.31376418061Retained binary64: 1.3137641806119267binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 112 | 112 | 12.4097878499Retained binary64: 12.409787849937372binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.585786437627Retained binary64: -0.5857864376269053binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.585786437627Retained binary64: 0.5857864376269053binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.41421356237Retained binary64: 1.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.41421356237Retained binary64: -1.4142135623730954binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.41421356237Retained binary64: -1.4142135623730947binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.17157287525Retained binary64: 1.1715728752538106binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.17157287525Retained binary64: -1.1715728752538106binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.17157287525Retained binary64: 1.1715728752538106binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 113 | 113 | 12.4368669677Retained binary64: 12.436866967682993binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.51809774929Retained binary64: -0.5180977492900822binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.51809774929Retained binary64: 0.5180977492900822binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.34311790969Retained binary64: 1.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.34311790969Retained binary64: -1.3431179096940373binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.48190225071Retained binary64: -1.4819022507099178binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 1.03619549858Retained binary64: 1.0361954985801645binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.03619549858Retained binary64: -1.0361954985801645binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.03619549858Retained binary64: 1.0361954985801645binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 114 | 114 | 12.4607103967Retained binary64: 12.460710396740929binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.453979093275Retained binary64: -0.4539790932745269binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.453979093275Retained binary64: 0.4539790932745269binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.26878656833Retained binary64: 1.2687865683272919binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.26878656833Retained binary64: -1.2687865683272919binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.54602090673Retained binary64: -1.546020906725473binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.907958186549Retained binary64: 0.9079581865490538binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.907958186549Retained binary64: -0.9079581865490538binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.907958186549Retained binary64: 0.9079581865490538binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 115 | 115 | 12.4814972078Retained binary64: 12.481497207823185binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.393584937039Retained binary64: -0.3935849370387099binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.393584937039Retained binary64: 0.3935849370387099binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.19139860898Retained binary64: 1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.19139860898Retained binary64: -1.1913986089848665binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.60641506296Retained binary64: -1.60641506296129binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.787169874077Retained binary64: 0.7871698740774198binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.787169874077Retained binary64: -0.7871698740774198binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.787169874077Retained binary64: 0.7871698740774198binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 116 | 116 | 12.4994138353Retained binary64: 12.499413835302205binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.337060775395Retained binary64: -0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.337060775395Retained binary64: 0.33706077539490953binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.11114046604Retained binary64: 1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.11114046604Retained binary64: -1.1111404660392044binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.66293922461Retained binary64: -1.6629392246050905binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.67412155079Retained binary64: -0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.67412155079Retained binary64: 0.6741215507898191binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 117 | 117 | 12.5146536281Retained binary64: 12.514653628074125binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.284542779999Retained binary64: -0.284542779999456binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.284542779999Retained binary64: 0.284542779999456binary64; 12 significant-digit display; only exact zero sign canonicalized | 1.02820548839Retained binary64: 1.0282054883864438binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -1.02820548839Retained binary64: -1.0282054883864438binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.71545722Retained binary64: -1.715457220000544binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.569085559999Retained binary64: 0.569085559998912binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.569085559999Retained binary64: -0.569085559998912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.569085559999Retained binary64: 0.569085559998912binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 118 | 118 | 12.5274163838Retained binary64: 12.527416383764358binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.236157471303Retained binary64: -0.23615747130329034binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.236157471303Retained binary64: 0.23615747130329034binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.942793473652Retained binary64: 0.9427934736519958binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.942793473652Retained binary64: -0.9427934736519958binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.7638425287Retained binary64: -1.7638425286967097binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.472314942607Retained binary64: 0.4723149426065807binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.472314942607Retained binary64: -0.4723149426065807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.472314942607Retained binary64: 0.4723149426065807binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 119 | 119 | 12.5379078674Retained binary64: 12.537907867397607binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.192021413753Retained binary64: -0.19202141375311377binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.192021413753Retained binary64: 0.19202141375311377binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.855110186861Retained binary64: 0.8551101868605651binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.855110186861Retained binary64: -0.8551101868605651binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.80797858625Retained binary64: -1.8079785862468862binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.384042827506Retained binary64: 0.38404282750622754binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.384042827506Retained binary64: -0.38404282750622754binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.384042827506Retained binary64: 0.38404282750622754binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 120 | 120 | 12.5463393157Retained binary64: 12.546339315691904binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.152240934977Retained binary64: -0.15224093497742697binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.152240934977Retained binary64: 0.15224093497742697binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.76536686473Retained binary64: 0.7653668647301808binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.76536686473Retained binary64: -0.7653668647301808binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.84775906502Retained binary64: -1.847759065022573binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.304481869955Retained binary64: 0.30448186995485393binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.304481869955Retained binary64: -0.30448186995485393binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.304481869955Retained binary64: 0.30448186995485393binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 121 | 121 | 12.5529269282Retained binary64: 12.552926928170846binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.116911869634Retained binary64: -0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.116911869634Retained binary64: 0.11691186963395839binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.673779706784Retained binary64: 0.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.673779706784Retained binary64: -0.67377970678444binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.88308813037Retained binary64: -1.8830881303660416binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.233823739268Retained binary64: -0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.233823739268Retained binary64: 0.23382373926791677binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 122 | 122 | 12.5578913463Retained binary64: 12.557891346320012binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0861193285356Retained binary64: -0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0861193285356Retained binary64: 0.08611932853558235binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.580569354509Retained binary64: 0.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.580569354509Retained binary64: -0.580569354508925binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.91388067146Retained binary64: -1.9138806714644176binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.172238657071Retained binary64: -0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.172238657071Retained binary64: 0.1722386570711647binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 123 | 123 | 12.561457122Retained binary64: 12.561457122042295binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0599374936109Retained binary64: -0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0599374936109Retained binary64: 0.05993749361091205binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.485960359807Retained binary64: 0.48596035980652835binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.485960359807Retained binary64: -0.48596035980652835binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.94006250639Retained binary64: -1.940062506389088binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.119874987222Retained binary64: -0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.119874987222Retained binary64: 0.1198749872218241binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 124 | 124 | 12.5638521767Retained binary64: 12.563852176692706binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0384294391935Retained binary64: -0.03842943919353936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0384294391935Retained binary64: 0.03842943919353936binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.390180644032Retained binary64: 0.39018064403225744binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.390180644032Retained binary64: -0.39018064403225744binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.96157056081Retained binary64: -1.9615705608064606binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0768588783871Retained binary64: 0.07685887838707872binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0768588783871Retained binary64: -0.07685887838707872binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0768588783871Retained binary64: 0.07685887838707872binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 125 | 125 | 12.565307252Retained binary64: 12.565307251995854binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0216469800704Retained binary64: -0.021646980070438193binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0216469800704Retained binary64: 0.021646980070438193binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.293460948911Retained binary64: 0.2934609489107248binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.293460948911Retained binary64: -0.2934609489107248binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.97835301993Retained binary64: -1.9783530199295618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0432939601409Retained binary64: 0.043293960140876386binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0432939601409Retained binary64: -0.043293960140876386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0432939601409Retained binary64: 0.043293960140876386binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 126 | 126 | 12.5660553542Retained binary64: 12.566055354168933binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00963054665561Retained binary64: -0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00963054665561Retained binary64: 0.009630546655606143binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.196034280659Retained binary64: 0.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.196034280659Retained binary64: -0.196034280659121binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99036945334Retained binary64: -1.9903694533443939binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.0192610933112Retained binary64: -0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0192610933112Retained binary64: 0.019261093311212285binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 127 | 127 | 12.5663311926Retained binary64: 12.566331192589328binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00240908758966Retained binary64: -0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00240908758966Retained binary64: 0.00240908758965519binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.0981353486548Retained binary64: 0.09813534865483618binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | -0.0981353486548Retained binary64: -0.09813534865483618binary64; 12 significant-digit display; only exact zero sign canonicalized | -1.99759091241Retained binary64: -1.9975909124103448binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | -0.00481817517931Retained binary64: -0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0.00481817517931Retained binary64: 0.00481817517931038binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
| 128 | 128 | 12.5663706144Retained binary64: 12.566370614359172binary64; 12 significant-digit display; only exact zero sign canonicalized | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | -2Exact fraction: -2Retained binary64: -2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 |
Common mean E×B drift components (3 rows)
Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
| Row | value |
|---|---|
| 0 | 2Exact fraction: 2Retained binary64: 2.0 |
| 1 | 0Exact fraction: 0Retained binary64: 0.0 |
| 2 | 0Exact fraction: 0Retained binary64: 0.0 |
All five crossed-field quarter-turn control indices (5 rows)
Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
| Row | value |
|---|---|
| 0 | 0 |
| 1 | 32 |
| 2 | 64 |
| 3 | 96 |
| 4 | 128 |
crossedFields: exact constants, symbolic values and scope (5 rows)
Prescribed E/E₀=(0,2,0),B/B₀=(0,0,1), zero initial position/velocity. Both signs share mean drift2v₀x̂ but opposite transverse motion. Angle index refers to the common129-row audit in the helix data group. Electric work changes K; magnetic point-charge power is zero.
| Quantity/source condition | Admitted value |
|---|---|
| energy Meaning | K changes by electric work only; K+qV constant with V=-E dot r and initial zero. Same mean drift, opposite gyration. |
| x Symbolic | 4*pi |
| x Value | 12.566370614359172 |
| y | 0Exact fraction: 0Retained binary64: 0.0 |
| z | 0Exact fraction: 0Retained binary64: 0.0 |
Focus a labelled diagram or table region and use arrow keys, or scroll sideways. Fixed-size readable graphics remain inside their own regions. Complete data disclosures retain exact fractions, symbolic multiples, original precision qualifications and every stored value.
| T | x/L₀ | y/L₀ for +q₀ / −q₀ | K/K₀ | qV/K₀ |
|---|---|---|---|---|
| 0 | 0 | 0 / 0 | 0 | 0 |
| π/2 | π − 2 | 2 / −2 | 4 | −4 |
| π | 2π | 4 / −4 | 8 | −8 |
| 2π | 4π | 0 / 0 | 0 | 0 |
A velocity selector has geometrical conditions
A uniform crossed-field selector accepts the velocity components that satisfy E + v × B = 0 within its central ideal region. For perpendicular E and B with no parallel electric field, the selected perpendicular velocity is E × B/B². Its speed is E/B. A parallel velocity component does not change that force balance.
The formula E/B is a speed only in SI units with the prescribed perpendicular geometry. For the selected E = 2v₀B₀ŷ and B = B₀ẑ, the undeflected perpendicular velocity is +2v₀x̂, not −2v₀x̂. Reversing charge changes both electric and magnetic forces together, leaving this ideal cancellation velocity unchanged.
An injected particle at rest is not initially on that force-free path; it follows the cold-start trajectory just derived. Likewise a particle with another initial velocity undergoes gyromotion relative to the drift, and a finite aperture may reject it. The infinite uniform-field solution alone does not establish a real device’s resolution or transmission.
After a selected beam enters a region with only magnetic field and perpendicular motion, its curvature can supply m/|q| if speed is independently known in the nonrelativistic regime. A measurement must still establish charge state, field, entrance direction and geometry. No instrument accuracy or empirical operating value is inferred from the symbolic examples here.
From moving charge to force on a current
Summing the Lorentz force over a macroscopic charge and current distribution gives electromagnetic force density f = ρ_qE + J × B when the chosen densities and fields are compatible. In a thin wire carrying conventional current I, the magnetic part due to an external field is dF = I dℓ × B_ext, with dℓ oriented along positive conventional current.
For a straight segment and uniform external B, F = Iℓ × B. Reversing current or field reverses that force. Negative charge carriers drifting opposite to conventional current give the same J × B expression when their signed charge is included. Using their drift direction as the positive I direction would count the sign incorrectly.
For a closed steady loop in a uniform external B, the net magnetic force is I(∮dℓ) × B = 0. The forces can nevertheless act at different positions and yield a torque. For a small planar loop, the moment μ = IA n̂ has a normal fixed by conventional-current circulation, and τ = μ × B. Detailed magnetic dipoles and material moments belong to the next dedicated material.
A wire’s mechanical response involves carriers, lattice forces, supports and possible Hall charge redistribution. The external-field force formula does not license evaluating a singular ideal filament’s self-field at that same filament. Motor work and electromagnetic energy transfer require the source and induced electric fields in the complete energy account; the magnetic point-charge work identity remains valid.
Derive the Hall field with signed carriers
Consider a separate idealized single-carrier strip in a steady state with no net transverse current. Let J = J_xx̂, B = B_zẑ, number density n > 0 and signed carrier charge q. The drift is v_d = J/(nq). A transverse electric field builds as edge charge redistributes until the transverse force balance is E_H = −v_d × B.
With the stated axes, E_y = v_xB_z = J_xB_z/(nq). Define R_H here as E_y/(J_xB_z), giving R_H = 1/(nq) for this one-carrier model. A matrix entry called ρ_xy may use a different index order or sign convention; keep the measured field, current, magnetic direction and voltage contacts explicit.
Choose J₀ = n₀q₀v₀, J_x = 3J₀, n = 2n₀ and B_z = 2B₀. For +q₀ the drift is +(3/2)v₀x̂ and E_H = +3v₀B₀ŷ. For −q₀ it is −(3/2)v₀x̂ and E_H = −3v₀B₀ŷ. In both cases the magnetic force per carrier points toward −y, while the balancing electric force points toward +y; their field signs differ because their charges differ.
Let the strip width be 4L₀, from y = −2L₀ to +2L₀, and define ΔV = V(+2L₀) − V(−2L₀). Then ΔV = −4L₀E_y: it is −12E₀L₀ for +q₀ and +12E₀L₀ for −q₀, where E₀ = v₀B₀. Changing the order of voltage contacts reverses the reported voltage. A Hall sign in multicarrier or anomalous materials needs a transport model beyond this elementary inference.
Fix current, B and the voltage contacts before comparing signs
Keep the same imposed conventional current and magnetic field while comparing two separate single-carrier strips. Show the signed drift, balancing electric field and upper-minus-lower potential difference with the contact order fixed.
Two single-carrier strips with the same contact order
- Drift: common40px per v₀; signed carrier velocity
- Hall field: common20px per E₀; separate quantity and scale
- Common imposed J: direction only; schematic arrow length
- Two separate single-carrier strips, same imposed J/J₀=(3,0,0),B/B₀=(0,0,2),n/n₀=2,width4L₀. ΔV=V(y=+2L₀)−V(y=−2L₀). R_H is explicitly E_y/(J_xB_z); no universal multiband sign inference.
- View from +z: +x right,+y up,+B_z toward the viewer. Each separate strip has upper contact y=+2L₀ and lower contact y=−2L₀. The drawn longitudinal length is schematic; transverse width4L₀ and contact order are explicit.
- Both strips have conventional current+3J₀x̂. Signed drift is±3v₀/2,Hall field is±3E₀ŷ,while magnetic force−3q₀E₀ŷ and electric force+3q₀E₀ŷ balance in both. A zero resultant is not assigned a direction.
- Drift arrows use40px per v₀ and Hall-field arrows20px per E₀; the commonJ arrows show direction only. Their different units/scales are not to be compared as magnitudes. With the contact order fixed,ΔV/(E₀L₀) is−12 for positive carriers and+12 for negative carriers.
- The Hall coefficient here is E_y/(J_xB_z)=1/(nq). Matrix-index conventions and real multicarrier/band/anomalous responses can change material interpretations; no universal charge-sign diagnosis is inferred.
- Every path and data entry uses the exact admitted source records. Only the five declared quarter-turn masks are exact trigonometric special cases. Other values retain binary64 argument/function/arithmetic qualifications,12-significant-digit displays and full stored values. No near-zero snap, orbit integrator, empirical constant or source-field simulation is introduced.
Complete labelled data equivalents preserve every admitted record, scalar, mask, sign and source condition. Original manuscript tables remain separate.
Same imposed conventional current and magnetic field, two separate one-carrier strips
Both separate one-carrier Hall-material records (2 rows)
Two separate single-carrier strips, same imposed J/J₀=(3,0,0),B/B₀=(0,0,2),n/n₀=2,width4L₀. ΔV=V(y=+2L₀)−V(y=−2L₀). R_H is explicitly E_y/(J_xB_z); no universal multiband sign inference.
| Row | Signed q/q₀ | n/n₀ | J/J₀, x component | J/J₀, y component | J/J₀, z component | v_d/v₀, x component | v_d/v₀, y component | v_d/v₀, z component | B/B₀, x component | B/B₀, y component | B/B₀, z component | E_H/E₀, x component | E_H/E₀, y component | E_H/E₀, z component | F_B/(q₀E₀), x component | F_B/(q₀E₀), y component | F_B/(q₀E₀), z component | F_E/(q₀E₀), x component | F_E/(q₀E₀), y component | F_E/(q₀E₀), z component | Total transverse force (zero), x component | Total transverse force (zero), y component | Total transverse force (zero), z component | Strip width/L₀ | V(upper)−V(lower), divided by E₀L₀ | R_H /(1/(n₀q₀)), declared E_y/(J_xB_z) |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1Exact fraction: 1Retained binary64: 1.0 | 2Exact fraction: 2Retained binary64: 2.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 3/2Exact fraction: 3/2Retained binary64: 1.5 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | -12Exact fraction: -12Retained binary64: -12.0 | 1/2Exact fraction: 1/2Retained binary64: 0.5 |
| 1 | -1Exact fraction: -1Retained binary64: -1.0 | 2Exact fraction: 2Retained binary64: 2.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | -3/2Exact fraction: -3/2Retained binary64: -1.5 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 2Exact fraction: 2Retained binary64: 2.0 | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | -3Exact fraction: -3Retained binary64: -3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 3Exact fraction: 3Retained binary64: 3.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 0Exact fraction: 0Retained binary64: 0.0 | 4Exact fraction: 4Retained binary64: 4.0 | 12Exact fraction: 12Retained binary64: 12.0 | -1/2Exact fraction: -1/2Retained binary64: -0.5 |
hall: exact constants, symbolic values and scope (3 rows)
Two separate single-carrier strips, same imposed J/J₀=(3,0,0),B/B₀=(0,0,2),n/n₀=2,width4L₀. ΔV=V(y=+2L₀)−V(y=−2L₀). R_H is explicitly E_y/(J_xB_z); no universal multiband sign inference.
| Quantity/source condition | Admitted value |
|---|---|
| voltage Definition | V(y=+2L0)-V(y=-2L0), common coordinates and prescribed J=+3J0xhat |
| R H Definition | E_y/(J_x B_z)=1/(nq); matrix index labels depend on convention |
| single Carrier Only | true |
Focus a labelled diagram or table region and use arrow keys, or scroll sideways. Fixed-size readable graphics remain inside their own regions. Complete data disclosures retain exact fractions, symbolic multiples, original precision qualifications and every stored value.
| Carrier charge | v_x/v₀ | E_y/E₀ | F_B,y/(q₀E₀) | F_E,y/(q₀E₀) | ΔV/(E₀L₀) |
|---|---|---|---|---|---|
| +q₀ | 3/2 | 3 | −3 | 3 | −12 |
| −q₀ | −3/2 | −3 | −3 | 3 | 12 |
Return path: an adiabatic magnetic moment
A uniform-field helix is an exact solution of the selected classical equation. In a slowly varying magnetic field, a guiding-center approximation separates rapid gyromotion from slower motion of its center. It requires a gyroradius small compared with the relevant field-variation length and field changes slow compared with the gyroperiod, together with compatible collision and electric-field assumptions.
For a static magnetic field with negligible electric work and well-separated gyromotion, the leading scalar adiabatic invariant is μ_ad = mv_perp²/(2B). This nonnegative quantity describes perpendicular kinetic energy per unit B. It is an approximate invariant in its stated ordering, not an exact constant for arbitrary nonuniform fields or near a magnetic null.
Combining conserved kinetic energy with μ_ad gives (1/2)mv_parallel² + μ_adB = K to leading order. Along the guiding-center path toward increasing B, perpendicular kinetic energy grows while the parallel kinetic energy shrinks. The leading mirror force is −μ_ad∇_parallelB. Total kinetic energy need not change: the local perpendicular direction changes as the full solenoidal magnetic geometry is followed.
The field strength along a path may be written B(s), but it is not a complete field B(z)ẑ with arbitrary z dependence. Such an assumed everywhere axial field would have ∇·B = dB/dz and generally violate magnetic flux conservation. A real mirror includes transverse structure. Our argument supplies the reduced energy relation and validity conditions; it does not compute that full field or a three-dimensional orbit.
Return path: mirrors and the loss cone
Let B_a be the starting field magnitude and α_a the angle between velocity and the local field, in a static mirror with negligible E and valid adiabatic ordering. Initially μ_ad = K sin²α_a/B_a. At an ideal mirror point v_parallel = 0, so K = μ_adB_m. Eliminating μ_ad gives B_m/B_a = 1/sin²α_a.
If the accessible field reaches a maximum B_max, a particle reflects before reaching that maximum when sin²α_a > B_a/B_max. Initial directions with sin²α_a < B_a/B_max form the corresponding loss cone and are not reflected on that branch. Equality is the marginal case; whether a particle reaches or passes a real limiting region requires the actual field profile and boundary conditions.
For example, if B_max = 4B_a and sin²α_a = 1/2, the ideal turning strength is 2B_a, so a smooth increasing branch that attains it can reflect the particle. If sin²α_a = 1/8, the required strength is 8B_a, beyond the available maximum. These are conditional mirror-strength calculations, not predictions of indefinite confinement in a particular device.
Collisions can scatter a trapped particle into the loss cone. Rapid field variation, a null, electric potential differences, drift across field lines and collective instabilities can also change the conclusion. Magnetic mirrors connect single-particle motion to space plasma and confinement physics, while the conditions of the reduced argument prevent a claim that every charged particle is perfectly trapped.
Return path: other forces and drift ordering
For an additional slowly varying perpendicular force F_perp on a magnetized particle, the leading force-balance drift satisfies F_perp + q v_F × B = 0. Solving gives v_F = F_perp × B/(qB²). The electric-force choice F_perp = qE_perp recovers E × B/B² and removes the charge sign from that particular drift.
A mechanical force independent of q instead gives a drift that changes with charge sign. The formula describes the center motion under an appropriate slow ordering, not an instruction to omit the particle’s gyromotion or acceleration in an arbitrary transient. Its denominator also signals a breakdown near B = 0 rather than an infinite physical speed.
Spatial variation of field strength and curvature creates further guiding-center drifts. Their expressions depend on perpendicular energy, parallel motion, local geometry and signed charge, and enter at specified orders in a small-gyroradius expansion. They cannot be inferred from the uniform-field cycloid by replacing B with a spatial function without checking the neglected terms.
No gradient- or curvature-drift trajectory is claimed by the native plots in this lesson. They show the exact prescribed uniform-field cases. The advanced connection identifies the next controlled approximation and its assumptions, preserving the difference between an analytic example, a guiding-center model and a full self-consistent plasma calculation.
Know which extra physics changes the answer
Collisions or drag add momentum-transfer terms and can dissipate particle energy. Strong radiation can require radiation reaction or a more complete electrodynamic treatment. Dense beams and plasmas generate charge and current fields that couple many trajectories to Maxwell’s equations. None of those effects is represented by simply changing the color or thickness of a test-particle curve.
A rapidly changing magnetic field requires compatible electric induction. Relativistic particles need momentum and energy relations valid at their speeds. In matter, band dynamics, effective masses, scattering and more general Hall responses change the transport model. Spin magnetic moments and forces on dipoles are additional physics, not the same as the translational qv × B force on a structureless test charge.
These boundaries connect the lesson to the earlier electrical-conduction and transport discussions, to the following magnetic-source and dipole lessons, and to later induction, Maxwell and plasma topics. The order matters: source laws determine the fields; the force law advances compatible particles; material response and collective fields can require solving both together.
Before trusting a trajectory, state the frame, axes, charge, field geometry, initial data and approximation. Check the vector force, its perpendicular or parallel components, and the work identity. Then check radius, pitch, time and energy against the same scales. A valid plot must carry those meanings through its arrows, labels and accessible data.
Worked examples
One velocity, two charge signs
For v = v₀(3,0,4) and B = 2B₀ẑ, find the magnetic force on ±q₀ and its power.
- Only the perpendicular component 3v₀x̂ contributes.
- v × B = −6v₀B₀ŷ, so the +q₀ force is −6F₀ŷ.
- For −q₀ at the same velocity the force is +6F₀ŷ.
- Both forces have zero dot product with v because v has no y component.
The forces are opposite, with magnitude 6F₀, and their instantaneous magnetic powers are both zero. The parallel velocity contributes to kinetic energy without changing this force.
Radius, pitch and a projected return
Find the radius, pitch and position after one turn for the original +q₀ helix.
- The perpendicular speed is 3v₀, so r_L = m(3v₀)/(q₀B₀) = 3L₀.
- The period is 2πt₀ and the parallel speed is 4v₀.
- Their product gives pitch 8πL₀.
- At T = 2π the sine is zero and cosine is one, so r/L₀ = (0,0,8π).
The radius is 3L₀ and the pitch is 8πL₀. The particle returns to its initial xy projection but advances by one pitch along +z.
A cold start gains energy from the electric field
For the positive cold-start particle at T = π, verify its kinetic energy and electric work.
- The analytic trajectory gives r/L₀ = (2π,4,0) and v/v₀ = (4,0,0).
- Thus K = (1/2)m(4v₀)² = 8K₀.
- The electric work is q₀(2v₀B₀)(4L₀) = 8q₀v₀B₀L₀.
- Because L₀ = mv₀/(q₀B₀), this is 8mv₀² = 8K₀; magnetic work is zero.
The kinetic-energy increase equals the electric work, 8K₀. Its electric potential energy is −8K₀, so K + qV remains at its initial zero.
A Hall voltage with defined contacts
In the selected negative-carrier strip, compute E_y and V(+2L₀) − V(−2L₀).
- J_x = 3n₀q₀v₀ and n q = −2n₀q₀ give v_x = −(3/2)v₀.
- With B_z = 2B₀, E_y = v_xB_z = −3E₀.
- The potential difference across increasing y is −∫E_y dy, not +E_y times width.
- Across width 4L₀, ΔV = −(−3E₀)(4L₀) = +12E₀L₀.
E_y = −3E₀ and the defined upper-minus-lower voltage is +12E₀L₀. Reversing the contact order would reverse that voltage without changing the material.
A conditional mirror test
A valid adiabatic, static, electric-field-free model starts at B_a with sin²α_a = 1/2. Can a branch reaching 4B_a provide a mirror point?
- Energy and μ_ad give B_m = B_a/sin²α_a.
- The selected starting angle requires B_m = 2B_a.
- This is below the available maximum 4B_a, so a smooth increasing branch that reaches 2B_a has a turning point in the reduced model.
- The conclusion still assumes magnetization, slow field variation and no competing electric work or collisional scattering.
Yes, conditionally: the reduced mirror strength is 2B_a. The calculation does not establish permanent confinement or replace the full magnetic geometry.
Try it yourself
For +q₀ moving along +x in B₀ẑ, is the magnetic force along +y or −y?
Show the answer and reasoning
−y.
x̂ × ẑ = −ŷ. A negative charge at the same velocity reverses that force.
Does adding velocity parallel to a fixed magnetic field increase |q|v_perp B?
Show the answer and reasoning
No.
The parallel component contributes zero to v × B. It can change the total speed, kinetic energy and helix pitch.
What direction should a normalized magnetic-force arrow show for a stationary charge in a pure magnetic field?
Show the answer and reasoning
No force direction; show the zero vector.
The magnitude is zero, so division by that magnitude cannot define a unit direction.
Can a magnetic force accelerate a particle while preserving its speed?
Show the answer and reasoning
Yes.
An acceleration perpendicular to velocity changes its direction. The magnetic power remains zero.
Where is the negative-charge helix at T = π/2 in units L₀?
Show the answer and reasoning
(3,3,2π).
Its y coordinate is 3(1 − cos T), while x = 3 sin T and z = 4T. The positive trajectory has y = −3 at that time.
The cold-start crossed-field particles drift at mean +2v₀x̂. Must their instantaneous speed be 2v₀?
Show the answer and reasoning
No.
The exact solutions start and end one turn at rest and reach speed 4v₀ at T = π. Guiding-center drift and particle velocity are different quantities.
Does reversing q reverse E × B/B² in the same ideal constant perpendicular fields?
Show the answer and reasoning
No.
Both electric and magnetic forces change sign, and the particular force-canceling velocity is unchanged. The remaining gyromotion reverses.
What happens to a measured Hall voltage if only the two voltage leads are exchanged?
Show the answer and reasoning
Its reported sign reverses.
A voltage is an ordered potential difference. Current, field and contact directions must accompany a Hall sign interpretation.
If B_max = 4B_a and sin²α_a = 1/8, does the elementary adiabatic mirror condition predict reflection before the maximum?
Show the answer and reasoning
No.
The required strength is B_m = 8B_a, greater than the available maximum. The selected direction lies inside the loss cone under the stated model.
Does zero magnetic point-charge work justify ignoring the electric field induced by a changing B?
Show the answer and reasoning
No.
A complete changing-field setup generally requires induced E. Particle kinetic energy changes through qE·v, while radiation and other effects require their own additional terms.
What to carry forward
- The Lorentz force uses signed charge, an ordered v × B and fields and velocity in the same frame. Magnetic force depends on perpendicular velocity.
- Magnetic point-charge power is identically zero. Electric work changes kinetic energy; a complete system can also exchange source, material and radiation energy.
- Uniform magnetic fields give constant parallel velocity and rotating perpendicular velocity. Radius, pitch and total energy use different velocity components.
- Charge reversal changes the helix’s rotation at fixed initial data. It does not change a positive radius or the ideal E × B drift.
- A crossed-field drift is a center velocity. Exact cold-start trajectories have varying speed and an electric-work ledger even when their net work per turn is zero.
- Wire force uses conventional current and external field. A closed loop can have zero net force in uniform B and still experience torque.
- A one-carrier Hall inference needs signed charge, current, field and voltage contacts. More complex materials require a more complete transport model.
- Magnetic moments, mirrors and additional drifts require magnetization and slow variation. Their approximate invariants must not be promoted to arbitrary-field or permanent-confinement claims.
References
Sources for the concepts and teaching approaches in this article.
California Institute of Technology2 sources
- The Feynman Lectures on Physics, Vol. II: Magnetostatics, §§13–1 and13–3Richard P. Feynman, Robert B. Leighton and Matthew SandsTextbook chapter
- The Feynman Lectures on Physics, Vol. II: The Vector Potential, §§15–1–15–2 on loop torque and source energyRichard P. Feynman, Robert B. Leighton and Matthew SandsTextbook chapter
University of Texas at Austin4 sources